Question

Area of rhombus is 120 $c{m}^2$, if one of the diagonal is 10 cm, then find the length of other diagonal.

• A. 12 cm
• B. 15 cm
• C. 18 cm
• D. 24 cm

Answer 1

The correct option is D 24 cm

Given: Area of rhombus = 120 $c{m}^2$
Length of one diagonal = 10 cm
let length of other diagonal be y cm.

$\because$ Area of rhombus is $\frac{1}{2}$$\times$(product of diagonals)
$\Rightarrow$ 120 = $\frac{1}{2}$$\times$(10$\times$y)
$\Rightarrow$ y = $\frac{120\times 2}{10}$
= 24 cm
Hence length of other diagonal is 24 cm.