Area of rhombus calculator. 2. Divide the isosceles into two right triangles. Draw a lin...

Examples: find the area of a triangle. Example 1: Using the illust

Jun 24, 2023 · A rhombus is a quadrilateral with all four sides of equal length. To calculate the area of a rhombus, multiply the lengths of the two diagonals and divide the result by 2. The formula for the area of a rhombus is: Area = (diagonal 1 x diagonal 2) / 2 To use this online calculator for Side of Rhombus given Short Diagonal and Long Diagonal, enter Long Diagonal of Rhombus (d Long) & Short Diagonal of Rhombus (d Short) and hit the calculate button. Here is how the Side of Rhombus given Short Diagonal and Long Diagonal calculation can be explained with given input values -> 9.848858 = (sqrt(18^2 ...Definition of Rhomboid. The rhomboid is different from a rhombus. It is a type of parallelogram. It is very similar to a parallelogram. It is a figure in which opposite sides are parallel to each other. This is why it is similar to a parallelogram. And if a rhomboid has all sides equal, it becomes a rhombus.To use this online calculator for Side of Rhombus given Area, enter Area of Rhombus (A) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Side of Rhombus given Area calculation can be explained with given input values -> 9.949621 = sqrt (70/sin (0.785398163397301)).The area of a circle having a radius 'r' (The distance from the centre to a point on the boundary) is given by πr 2 where π = 22/7 or 3.14 (approx.) Let us understand it through an example. Suppose we have a circle that has a radius of 7 cm. Its area will be given by -. Area = πr 2 = 22/7 x 7 x 7 = 154 cm 2.Formula Area (Trigonometry) = A 2 sinθ Perimeter = 4 x Angle Solution : Area = 10 2 x sin (30) = 100 x 0.5 Area = 50 in² Perimeter = 4 x 30 Perimeter = 120 in. Area & Perimeter of Rhombus calculator uses side length and the measure of an angle or the lengths of diagonals of a rhombus, and calculates the perimeter and area of the rhombus.Jan 18, 2024 · Assume that you want to calculate the area of a parcel. It's in the quadrilateral shape, but not any specific - it's neither a rectangle nor a trapezoid. The quadrilateral area calculator is the best choice! Choose the option with your given parameters. The default value is the easiest to measure in the field or on the map, with 4 sides and 2 ... Moreover, you can also explore a parallelogram by using the online parallelogram calculator. Rhombus: Get going through the area formulas to find the area of the rhombus as follows: If Side and Height are Given: $$ \text{Area of Rhombus} = a*b $$ If Diagonals are Given: $$ \text{Area of a Rhombus} = \frac{\left(a*b\right)}{2} $$Using quadrilateral area formulas, Area of a Trapezoid = 1/2 × (Sum of the lengths of parallel sides) × height. = 1/2 × 300 × 50. = 150 × 50. = 7500 m 2. Therefore, the area of the trapezoidal park is 7500 m 2. Example 3: The base length of a parallelogram is 7 units and the height is 9 units.We know that the given shape is a rhombus. All four sides of a rhombus are of equal length. Therefore, Perimeter of rhombus = 4a. = 4 \ ( \times \) 15. = 60 inches. Therefore, the perimeter of the rhombus is 60 inches. Example 3: Liza and Brian are making two kites on their own. Both kites have the shape of a rhombus.Area Calculator: You are able to calculate the area for the most important geometric figures. You can calculate the area of ellipse, area of tank, area of rectangle, area of square, area of trapezoid, area of parallelogram, area of rhombus, area of sector, area of geometrical shapes, area of two dimensional and area of three dimensional.Free Quadrilaterals calculator - Calculate area, perimeter, diagonals, sides and angles for quadrilaterals step-by-step. Solutions Graphing Calculators; New Geometry; Practice; Notebook ... Rhombus Rectangle Square. Correct Answer :) Let's Try Again :(Try to further simplify. Verify Related. quadrilaterals-calculator. en. image/svg+xml.On this page, you can calculate area of a Rhombus. Area of a Rhombus formula = Product of diagonals / 2. diagonal 1: diagonal 2: Result window. Download: Use this area calculator offline with our all-in-one calculator app for Android and iOS.Example 2: Calculate the area of a rhombus (using diagonal) having diagonals equal to 4cm and 3cm. Solution: Given, Length of diagonal 1 (d1) = 4cm. Length of diagonal 2 (d2) = 3cm. Now, Area of Rhombus (A) = 1/2 d1 × d2 = 4 x3/2 = 6cm 2. Example 3: Calculate the area of the rhombus (using trigonometry) if its side is 8cm and one of …This geometry video tutorial explains how to calculate the area of a rhombus using side lengths and diagonals based on a simple formula. Area - Rectangle: ...How to calculate Area of Rhombus using this online calculator? To use this online calculator for Area of Rhombus, enter Side of Rhombus (S) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Area of Rhombus calculation can be explained with given input values -> 70.71068 = 10^2*sin (0.785398163397301).The formula for Area of a Rhombus is: Area of a Rhombus = a2 sin x square units (i.e. if "a" is its sides and "%" is an included angle). Rhombus is a four-sided figure with its sides parallel and its lengths equal. Because there are two formulas that do not use trigonometry, you can find your answer without any trouble.Area of a trapezoid is found with the formula, A= (a+b)h/2. To find the area of a trapezoid, you need to know the lengths of the two parallel sides (the "bases") and the height. Add the lengths of the two bases together, and then multiply by the height. Finally, divide by 2 to get the area of the trapezoid.Free Solid Geometry calculator - Calculate characteristics of solids (3D shapes) step-by-step.Formula for Area of a Quadrilateral. The diagonals of a kite are perpendicular. Area of a kite is given as half of the product of the diagonals which is same as that of a rhombus. Area of a kite can be expressed by the formula: Area of Kite =. \ (\begin {array} {l}\frac {1} {2}D_ {1}D_ {2}\end {array} \) D 1 = long diagonal of kite.We can calculate the area of a rhombus knowing the height and length of the base of the following formula: S=ah. where a - is a side, h - the height of the rhombus. Just rhombus area can be found across the length and angle of the sides of a rhombus: S=a 2 sin (α) where a - is a party, α - angle in degrees rhombus. To calculate the area of a triangle, there are three main formulas that are commonly used. The first one is the `base and height` formula, which is used when the base and height of the triangle are known. The formula for this: S = \dfrac {ah} {2} S = 2ah. where S is the triangle area, a is the base and h is the height of the triangle.Feb 18, 2023 · This is the same formula used to calculate a rhombus's area. A rhombus, like a kite, is a particular case of an orthogonal quadrilateral, having two pairs of parallel sides and four equal-length sides. A rhombus is equivalent to a square when the angles between sides are right angles. So, is a kite a rhombus? The perimeter of a rhombus is 46 cm. If its height is 8 cm, then its area is ___ cm2. The area of a rhombus is $119~cm^2$ and its perimeter is $56~cm$. find its height. The area of a rhombus is 216 sq. cm. If its one diagonal is 24 cm; find perimeter of the rhombus.Formula Area (Trigonometry) = A 2 sinθ Perimeter = 4 x Angle Solution : Area = 10 2 x sin (30) = 100 x 0.5 Area = 50 in² Perimeter = 4 x 30 Perimeter = 120 in. Area & Perimeter of Rhombus calculator uses side length and the measure of an angle or the lengths of diagonals of a rhombus, and calculates the perimeter and area of the rhombus.Step 2: Find the altitude of rhombus using its area. We know that, area of rhombus is, (base × height) Let the altitude (height) of the rhombus be h. We are given the area of rhombus as 360 c m 2. So, A = b × h ⇒ 360 = 12 × h ⇒ h = 360 12 ⇒ h = 30 c m. Therefore, the altitude of the rhombus is 30 c m. Suggest Corrections.Calculate. The rhombus is a parallelogram, so its opposite sides are equal and parallel in …In order to find the area of this rhombus, we remember the formula that the area of a rhombus is equal to 𝑑 sub one times 𝑑 sub two over two, where 𝑑 sub one and 𝑑 sub two are the lengths of the diagonals. Plugging in the values of 30.3 and 15.8 for the lengths of our diagonals into the formula gives us 30.3 times 15.8 over two.This geometry video tutorial explains how to calculate the area of a rhombus using side lengths and diagonals based on a simple formula. Area - Rectangle: ...To find the area, we can use the formula: A = (8 × 10) / 2 = 40. So the area of the rhombus is 40 square units. Calculating the area of a rhombus is an essential skill in geometry. Our rhombus area calculator and formulas make it easy to find the area of your rhombus. Try it out for yourself and see how easy it can be!Rhombus Side Formula. There is a formula that you can use to calculate the length of a side of a rhombus. The formula is based on the Pythagorean theorem: a = \dfrac {\sqrt {d_1^2 + d_2^2}} {2} a = 2d12 + d22. where a is the length of the unknown side, and d₁ and d₂ are the lengths of the two diagonals of the rhombus.Dec 30, 2017 · This geometry video tutorial explains how to calculate the area of a rhombus using side lengths and diagonals based on a simple formula. Area - Rectangle: ... Area of a square formula. The formula for the area of a square is side2, as seen in the figure below: The solution to the equation is straightforward multiplication and this is the formula used in our area of a square online calculator. The result will be in whatever metric you did the measurement in, but squared: square mm, square cm, square ...Area of Rhombus calculator uses Area of Rhombus = Side of Rhombus ^2* sin ( Acute Angle of Rhombus ) to calculate the Area of Rhombus, Area of Rhombus is be defined as the amount of 2-dimensional space inside the boundary of a Rhombus.The area and a diagonal of a rhombus are 60 cm\(^2\) and 12 cm respectively. Calculate the length of the other diagonal. ... Calculate the length of the other diagonal. A. 5cm B. 6cm C. 10cm D. 12cm E. 15cm Correct Answer: Option C Explanation. Area of rhombus = \(\frac{pq}{2}\) where p and q are the two diagonals of the rhombus. \(\therefore ...a - length of rhombus side, α - angle between rhombus sides; . A = 1 2 d 1 · d 2. where A - rhombus area, d 1, d 2 - length of square diagonal. You can input only integer numbers, decimals or fractions in this online calculator (-2.4, 5/7, ...). More in-depth information read at these rules. Try online calculators for calculation of ...The same can be said about most other shapes: circle, square, trapezium, parallelogram, rhombus. Triangle. You should start with a triangle - the basic geometric figure on which all modern trigonometry is built. There are 4 basic formulas to calculate the area of an ordinary (non-rectangular) triangle: S = (1/2) ⋅ a ⋅ h.May 10, 2018 · Finding Height from Area and Base. The formula for the height of a rhombus is height = area ÷ base. For example, if you know the area of a rhombus is 64 cm2 and the base is 8 cm, you work out 64 ÷ 8 = 8. The height of the rhombus is 8 cm. Remember, the base is one of the sides and they are equal in length, so if you know the length of one of ...Area of a circle. The formula to find the area of a circle is π x radius2, but the diameter of the circle is d = 2 x r, so another way to write it is π x (diameter / 2)2. Visual on the figure below: For the area of a circle you need just its radius. In most practical situations it would be easier to calculate the diameter instead, which is ... Use this calculator to calculate your startup costs so you know how much money you need to start a small business. Includes examples of start up expenses. Business startup costs ar...Since the diagonals of rhombus bisect each other then: AC = 2OA. AC = 2 × 6 = 12 cm. Now we can find the area of the rhombus by using the formula: Area of Rhombus = Half of the product of its diagonals. Area of Rhombus = (1/2) × (16) × (12) = 96 cm². ☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11.Use this simple geometry calculator tool to calculate area of a rhombus. Rhombus is a special type of parallelogram, all properties of parallelograms apply to rhombi. If a triangle is rhombi, Opposite angles are congruent. Any pair of consecutive angles are supplementary. Definition of a rhombus. A rhombus is a quadrilateral with all sides equal.A rhombus has rotational symmetry. It is a symmetric shape that can be rotated and still appear the same. A rhombus has two-fold symmetry, meaning that is can be rotated 180 degree...How to calculate Area of Rhombus given Height using this online calculator? To use this online calculator for Area of Rhombus given Height, enter Side of Rhombus (S) & Height of Rhombus (h) and hit the calculate button. Here is how the Area of Rhombus given Height calculation can be explained with given input values -> 70 = 10*7.Web site calcr offers users a very simple but useful online calculator. Web site calcr offers users a very simple but useful online calculator. As you perform your calculations, ca...Area of Rhombus calculator uses Area of Rhombus = Side of Rhombus^2*sin(Acute Angle of Rhombus) to calculate the Area of Rhombus, Area of Rhombus is be defined as the amount of 2-dimensional space inside the boundary of a Rhombus.Area of Rhombus = b * h. Diagonal Method: Area of Rhombus = ½ x d 1 x d 2 . …α. Formula for area from diagonals. S = d⋅f 2 S = d ⋅ f 2. Formula for area from the side and radius of the inscribed circle. S = 2a⋅r S = 2 a ⋅ r. Formula for perimeter of a Rhombus. L= 4⋅a L = 4 ⋅ a. Formula for radius of the circle inscribed in the rhombus from the side and angle. r = 1 2asinα r = 1 2 a sin.Area of Rhombus having diagonal_1 = 5.00 and diagonal_2 = 7.20 :--> 18.00 Next story C++ Program to Find Perimeter of Rhombus Previous story C++ Program to Find Area of ParallelogramArea of rhombus (circumscribed) Solve. Add to Solver. Description. Rhombus is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length. The can be calculated by the semi perimeter and the radius of the circle inscribed in the rhombus. Related formulas. Variables. A: Area of rhombus (m 2) a:Find the area of a rhombus with diagonals of 6 in and 8 in. The area is 1 2 (8) (6) = 24 i n 2. Example 3. Find the perimeter and area of the rhombus below. In a rhombus, all four triangles created by the diagonals are congruent. To find the perimeter, you must find the length of each side, which would be the hypotenuse of one of the four ...Mar 24, 2023 · Area Calculator is an all-in-one calculator that quickly calculates the area of any geometric figure and returns the result in square units. Download. Biology 22 calculators. Chemistry 20 calculators. ... Area of a rhombus formula. Rhombus is a parallelogram with all equal sides.The area of any rectangular place is or surface is its length multiplied by its width. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 = 180 square feet.Jan 31, 2024 · Area of Rhombus = (Product of diagonals)/2 = (A X B)/2; Where A and B are the length of diagonals of rhombus. C Program to find the area of the rhombus. To calculate the area of a rhombus we need the length of both diagonals of a rhombus. Below program first takes the length of diagonals as input from user and stores it in two floating point ...A rhombus is a parallelogram with four equal sides, a pair of opposing equal acute angles, and a pair of opposing equal obtuse angles. The formula for area of a rhombus is given as: A = pq⁄2. Where A is the area, p is the short diagonal, and q is the long diagonal. The Formula for the Area of a Rhombus.Calculating the area of a rhombus different formulas - for free! The app allows you to calculate the area of a rhombus by the formulas: - On the long side and height - On the long side and corner - Along the length of the diagonals - According to the radius of the inscribed circle and the cornerThings You Should Know. Find the area of any quadrilateral by dividing it into 2 triangles. Then, find the area of each of those triangles using the formula. A = 1 2 b h {\displaystyle A= {\frac {1} {2}}bh} (Area = 1/2 base times height) and add them together. Use the formula. A = l w {\displaystyle A=lw}To use this online calculator for Side of Rhombus given Area, enter Area of Rhombus (A) & Acute Angle of Rhombus (∠ Acute) and hit the calculate button. Here is how the Side of Rhombus given Area calculation can be explained with given input values -> 9.949621 = sqrt(70/sin(0.785398163397301)) .Three Methods to Calculate the Area of a Rhombus. 1. Using Diagonals. The area of a rhombus can be calculated if you know the length of its two diagonals (d1 and d2) using the following formula: Area = (d1 * d2) / 2. Here's how to do it: a. Measure the length of both diagonals. b. Multiply the lengths. c. Divide the product by 2. d. The ...Find the area of a rhombus whose side is $$5\ cm$$ and whose altitude is $$4.8\ cm$$. If one of its diagonal is $$8\ cm$$ long, find the length of the other diagonal. Open in App. Solution. Verified by Toppr. Area of rhombus $$=$$ Base $$\times$$ Height $$= \dfrac12\times\text{Product of diagonals}$$If you have last-minute houseguests, you might be stressed at the idea of cleaning your whole house last-minute, too. Here’s an idea: don’t. As Apartment Therapy points out, there ...Rhombus Calculator. A Rhombus is a quadrilateral with all four sides equal in length. Its a bit like a square that can lean over and the interior angles need not be 90 degree. Sometimes called a 'diamond' or 'lozenge' shape. Here you can calculate the area and perimeter of Rhombus. This tool is an online utility.Free Quadrilaterals calculator - Calculate area, perimeter, diagonals, sides and angles for quadrilaterals step-by-step. Solutions Graphing Calculators; New Geometry; Practice; Notebook ... Rhombus Rectangle Square. Correct Answer :) Let's Try Again :(Try to further simplify. Verify Related. quadrilaterals-calculator. en. image/svg+xml.Calculate the area of a rhomboid, using its formula, base, height and our surface calculator.The formula for calculating the area of a rhombus using base and height is Area = base × height. The formula for area of a rhombus using diagonals is Area = (1/2) × d 1 × d 2, where d 1 and d 2 are the lengths of the diagonals. Area of a rhombus using trigonometry can be calculated by the formula Area = a 2 × sin (θ), where a is the side ...To show why the diagonals of a rhombus are perpendicular, we can rotate the rhombus to look like a diamond and draw one diagonal as a horizontal line. Then, we can use the fact that the top and bottom triangles are congruent and isosceles to drop altitudes from the vertices to the horizontal diagonal. These altitudes form the other diagonal ...Rhombus area calculator; and; The irregular polygon area calculator. Quadrilateral area formulas. In this calculator, you can find three ways of determining the quadrilateral area: ... The quadrilateral area calculator displays the area, as well as the perimeter. The area is equal to 39,259 ft, and the perimeter is 890 ft in our example.Since the diagonals of rhombus bisect each other then: AC = 2OA. AC = 2 × 6 = 12 cm. Now we can find the area of the rhombus by using the formula: Area of Rhombus = Half of the product of its diagonals. Area of Rhombus = (1/2) × (16) × (12) = 96 cm². ☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11.It is a flat shape with 4 straight sides that are all equal length. The area of a rhombus is equal to half the product of the lengths of the diagonals. The plural of rhombus is "rhombi" or "rhombuses". A diamond is also categorized as a rhombus, because it has four equal sides and its opposite angles are equal. A rhombus can be a square. Click on "Calculate". Unlike the manual method, you do not need to enter the first vertex again at the end, and you can go in either direction around the polygon. The internal programming of the calculator takes care of it all for you. There are other, often easier ways to calculate the area of triangles and regular polygons.Area of rhombus by base times height method. Multiply the base and height to get the area of the rhombus. = b × h . Area of rhombus by the diagonal method = (d 1 × d 2) / 2. Perimeter of rhombus = 4 × L. How to calculate the perimeter and area of the rhombus? Example 1: If the length of two diagonals of the rhombus is 10 cm and 25 cm then ... Graphic Calculator for Rhombus. Graphic Calculator for Rhombus is used to find the graph points by entering the values of x, y axis and the rhombus value a. Drawing geometry shapes such as circle, ellipse, square, paralleogram, kite, trapezoid, rectangle, rhombus, triangle are made easier using this graphic calculator.May 1, 2023 · Area of a Rhombus Calculator: Do you want to understand the concept of rhombus area? You have reached the correct place. This page contains the useful information of area of a rhombus. Students can learn the complete details like area of a rhombus formulas, how to calculate the rhombus area, what is meant by rhombus and some example questions. Rhombus Calculator Our Rhombus Calculator is a handy tool that can help you find all the mathematical values of a rhombus, including its area, perimeter, diagonals, and angles. *Please note that changing one of the dimensions may alter the values of other dimensions.Rhombus comes from the greek rhombos. It was then used in latin as rhombus. The plural of a -us word in latin is -i. Sometimes, a foreign word will be anglicized and it will lose its weird (for us) plural form. Language, like mathematics, is conventions that were agreed upon at one point in history and is not always logical.8. A rhombus is a tangential quadrilateral, that means, it has an inscribed circle that is tangent to all four sides. Formulas. Area of rhombus. Let the 1st diagonal of the Rhombus be \(P\) units, and the 2nd diagonal of the Rhombus be \(Q\) units. Area of the Rhombus will be \(\dfrac{1}{2}\left(PQ\right)\) square units. Perimeter of rhombusA = a 2 ⋅ sin ( θ) A: the area of the rhombus. a: the length of any side. ∠ θ: any interior angle of the rhombus. The SI unit of perimeter is: m e t e r ( m) Area Unit Converter.Example 1: finding area given the length of the diagonals. Identify the length of the diagonals. These are the diagonals of a rhombus which correspond to the base and height of the corresponding rectangle. 2 Write down the formula for the area of a rhombus. 3 Substitute the given values of the diagonals and solve.It is a flat shape with 4 straight sides that are all equal length. The area of a rhombus is equal to half the product of the lengths of the diagonals. The plural of rhombus is "rhombi" or "rhombuses". A diamond is also categorized as a rhombus, because it has four equal sides and its opposite angles are equal. A rhombus can be a square.Calculate the area of any rhombus with the Rhombus Area Calculator. Get precise results, impress your friends, and unlock the secrets of these diamond-shaped wonders!Calculate diagonal of a rhombus step by step. Equations. Inequalities. Scientific Calculator. Scientific Notation Arithmetics. Complex Numbers. Polar/Cartesian. Simultaneous Equations. System of Inequalities.The calculator given in this section can be used to find area of a rhombus. Area of Rhombus using Vertex Angle. Side Length of Rhombus. Vertex Angle of Rhombus. Result: Area of Rhombus. square units. Perimeter of Rhombus.Program to calculate area of a rhombus whose one side and diagonal are given. Given the length of diagonal 'd1' of a rhombus and a side 'a', the task is to find the area of that rhombus. A rhombus is a polygon having 4 equal sides in which both the opposite sides are parallel, and opposite angles are equal.To calculate the area and perimeter (circumference) of a circle, you can use the following formulas: Area of a Circle: The formula to calculate the area of a circle is: A = πr^2 Here, "A" represents the area, and "r" represents the radius of the circle. π (pi) is a mathematical constant approximately equal to 3.14159.It is a flat shape with 4 straight sides that are all equal length. The area of a rhombus is equal to half the product of the lengths of the diagonals. The plural of rhombus is "rhombi" or "rhombuses". A diamond is also categorized as a rhombus, because it has four equal sides and its opposite angles are equal. A rhombus can be a square.Area of a Rhombus. A rhombus is a parallelogram with four equivalent sides, a set of opposing equal intense angles, and also a set of opposing equivalent obtuse angles. The formula for the area of a rhombus given as: A = pq/2. Where A is the location, p is the brief diagonal, and q is the long diagonal.Jan 18, 2024 · Given the lengths of the diagonals, the area of a rhombus is equal to half the diagonals’ product. A = ½ × d1 × d2. Where d 1 and d 2 are the diagonals of a rhombus. Example 5. The two diagonals of a rhombus are 12 cm and 8 cm. Calculate the rhombus area. Solution: Let d 1 = 12 cm and d 2 = 8 cm. A = ½ × d 1 × d 2.. You can use online calculator for computing the area of a triaEx. Radius= 23ft, Area = 1,661.90 sq. ft. Square: Square footage Squ Jan 13, 2024 · To calculate the area of a rhombus, we need to know the lengths of its diagonals. The formula for finding the area is: Area = (diagonal1 × diagonal2) / 2. To calculate the area, simply multiply the lengths of the two diagonals and divide the result by 2. You can practice calculating the area of a rhombus using Brighterly’s Rhombus Area ...The formula for Area of a Rhombus is: Area of a Rhombus = a2 sin x square units (i.e. if "a" is its sides and "%" is an included angle). Rhombus is a four-sided figure with its sides parallel and its lengths equal. Because there are two formulas that do not use trigonometry, you can find your answer without any trouble. Calculate the rhombus' area quickly and accurately using Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...May 1, 2023 · You have to choose any one option from side and height, diagonals, side … area = a² × √(25 + 10√5) / 4, where a is a side of a re...

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