Question

The area of a rhombus is $240c{m}^2$ and one of the diagonal is $16cm$. Find another diagonal.

Answer 1

Step: Find the length of another diagonal

Given: Area of a rhombus $=240c{m}^2$
Length of one of the diagonal $\left(d_1\right)=16\text{cm}$

Let the length of another diagonal be $d_2$

We know that,
$\text{Area of rhombus =}\frac{1}{2}\times (d_1\times d_2)$
where $d_1$and $d_2$are diagonals
$\Rightarrow 240=\frac{1}{2}\times 16\times d_2$

$\Rightarrow d_2=30\text{cm}$

Hence,the length of another diagonal is $30\text{cm}$.