Question

Find the area of a rhombus whose diagonal are of length 15 CM and 25 cm

Answer 1

area of rhombus =1/2 ×product of diagonals
= 1/2×15×25
=375/2
=187.5cm2

Answer 2

The area of a rhombus is 187.5 cm².

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Let's understand a few concepts:

To calculate the area of a rhombus we will use the following formula:

$\boxed{\bold{Area \:of\:a\:rhombus = \frac{1}{2} \times diagonal_1 \times diagonal_2}}$

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Let's solve the given problem:

The length of the diagonal 1 (d₁) of the rhombus = 15 cm

The length of the diagonal 2 (d₂) of the rhombus = 25 cm

By using the above formula of the area of a rhombus, we get

The area of the rhombus is,

= $\frac{1}{2}\times d_1 \times d_2$

= $\frac{1}{2}\times 15 \times 25$

= $\frac{1}{2}\times 375$

= $\bold{187.5\:cm^2}$

Thus, the area of a rhombus whose diagonals are of length 15 cm and 25 cm is 187.5 cm².

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