Question

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

Answer 1

Given: Area of the rhombus $=240c{m}^2$

Length of one of its diagonals $=16cm$

We know that if the diagonals of a rhombus are $d_1$ and $d_2$, then the area of the rhombus is given by:

Area $=\frac{1}{2}(d_1\times d_2)$

Putting the given values:

$\Rightarrow 240=\frac{1}{2}(16\times d_2)$

$\Rightarrow 240\times 2=16\times d_2$

This can be written as follows:

$\Rightarrow 16\times d_2=480$

$\Rightarrow d_2=\frac{480}{16}$

$\Rightarrow d_2=30cm$

Thus, the length of the other diagonal of the rhombus is $30cm.$