Your answer will appear in the "area of rhombus" field. Here you need to find the sine of the angle, but the formula is still straightforward: You can see that these two formulas give the same result, so. Formula of Area of Rhombus / Perimeter of Rhombus. How to Find the Area of a Rhombus? The squares of the lengths of the two diagonals are always four times the square of a side. Sometimes the rhombus is drawn so one of its two diagonals (lines connecting opposite vertices) is horizontal, making the diamond shape more obvious. Opposite angles are equal, too. The area is found by multiplying the length of the diagonals divided by 2. Example: A rhombus has diagonals of 6 m and 8 m, what is its Area? Multiply these and you have the area, in square units: So, if you had a rhombus whose altitude is 3 inches with sides that are 5 inches, then the area of this rhombus is: Another example is where side s is 15 feet and the height of 11 feet. Using Base and Height – A = b × h. Area of a rhombus can be derived in 3 ways: Using diagonals – A = ½ × d1 × d2. Problem 2: A rhombus is measured to have an area of 72 square meters and a short diagonal of 6 meters. If our rhombus only has the measurements for the diagonals, this is the formula we would use. He shows how to solve such problems by taking an example of rhombus with lengths of longer and shorted diagonal and computes its area … A rhombus If G is the mid-point of median A D, prove that a r ( B G C) = 2 a r ( A G C) View solution. Now, substitute the values in the formula, we get . In this video, you will learn how to find the area of a rhombus. Since opposite angles are equal, and the four angles add to 360°, if you know one angle, you can find all angles. If you noticed the three special parallelograms in the list above, you already have a sense of how to find area. (1)\ area:\hspace{65px} S= {\large\frac{ab}{2}}\\. Then, we multiply these two numbers together: The sine of 60° and 120° is the same, 0.866. Area= (diagonal 1 x diagonal 2) /2 $ \displaystyle A=\frac{{{{d}_{1}}\cdot {{d}_{2}}}}{2}$ The perimeter of a Rhombus is the total length of all sides. That means the two diagonals form two sides of a square that is twice the size of the rhombus. Three different ways to calculate the area of a, Parallelogram inscribed in a quadrilateral, Perimeter of a polygon (regular and irregular). It is a closed figure with straight (linear) sides, one of the many quadrilaterals (four-sided shapes). The area of a rhombus is half the area of the rectangle. How to calculate the area of a rhombus: Enter a value in the diagonal1 and diagonal2 fields. To find the area of a rhombus when the measures of its height and side are given, use the following formula: A = Base × Height What is the Formula for Perimeter of a Rhombus? The d1 is the diagonal inside the rhombus, while d2 is the other diagonal inside the rhombus. Area View Answer. How long is the long diagonal in meters? Solution: 1.) View Answer. Solution : Let A, B, C and D be the vertices of the rhombus. The area is 25. A grid of unit squares can be used when determining the area of a rhombus. The area is half the product of the diagonals. You have reviewed what a rhombus is, how it fits into the family of quadrilaterals, what its various parts are, and how to find its area. In this video the tutor shows how to calculate the area of a rhombus. 1-to-1 tailored lessons, flexible scheduling. A = b×h A= 7× 5 cm 2. The area of rhombus is the plan enclosed by the sides of the rhombus. View Answer. To find the area of a rhombus, you can multiply the imaginary perpendicular lines that travel in the middle of a rhombus and divide the result by 2. 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