Question

how to find the area of a rhombus and kindly give an example

Answer 1

Answer:

It's formula is 1/2 * (sum of its diagonals)

Step-by-step explanation:

Example :

In above figure

AC= 4 cm

BD= 2 cm

Therefore the area will be

R = 1/2 * (4+2)

R = 1/2 × 6

R = 3 Sq. Cm.

Answer 2

Answer:

There are two main formulas for the area of a rhombus:

A = ½ × $d_{1}$ × $d_{2}$ (or)

A = bh (this is also the formula for the area of a parallelogram)

We use the second formula when we think of a rhombus as a parallelogram

Examples:

1. Find the area of a rhombus of height 8 cm and base 10 cm.

Answer: Area = bh = 8 cm x 10 cm = 80 $cm^{2}$

2. A rhombus has two diagnols of lengths 6cm and 7cm. Find its area.

Answer: Area = ½ × $d_{1}$ × $d_{2}$ = 1/2 x 6cm x 7cm = 42/2 $cm^{2}$ = 21 $cm^{2}$

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