How to Calculate the Area of a Rhombus and Kite: Formulas and Examples

Area (Rhombus and Kite)

The area of a rhombus is calculated by multiplying the lengths of its diagonals and dividing the result by 2

The area of a rhombus is calculated by multiplying the lengths of its diagonals and dividing the result by 2. Let’s denote the lengths of the diagonals as d1 and d2. Therefore, the formula for the area of a rhombus (A) is:

A = (d1 * d2) / 2

For a kite, the area is also calculated by multiplying the lengths of its diagonals and dividing by 2. However, the lengths of the diagonals in a kite are not equal. Let’s denote the lengths of the diagonals as D1 and D2. Therefore, the formula for the area of a kite (A) is:

A = (D1 * D2) / 2

It’s important to note that the lengths of the diagonals in both the rhombus and the kite should be measured in the same unit (e.g., centimeters, inches) for accurate calculations.

Let’s work through an example:

Example: Find the area of a rhombus with diagonals of lengths 8 cm and 10 cm.

Using the formula for the area of a rhombus:

A = (d1 * d2) / 2

A = (8 * 10) / 2
A = 80 / 2
A = 40 cm²

Therefore, the area of the rhombus is 40 square centimeters.

Example: Find the area of a kite with diagonals of lengths 12.5 cm and 7.2 cm.

Using the formula for the area of a kite:

A = (D1 * D2) / 2

A = (12.5 * 7.2) / 2
A = 90 / 2
A = 45 cm²

Therefore, the area of the kite is 45 square centimeters.

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