Question

The area of a rhombus is $216c{m}^2$ and one of its diagonals is 18 cm. Find the other.

Answer 1

Given that, area of rhombus is $216c{m}^2$ and one of its diagonal is $18cm$.

To find out: The length of its other diagonal.

We know that, area of a rhombus is $\frac{1}{2}(D_1\times D_2)$

$\therefore \frac{1}{2}(D_1\times D_2)=216$

$\Rightarrow (D_1\times D_2)$ = $216\times 2$

$\Rightarrow D_2=\frac{216\times 2}{18}$

$\therefore D_2=24cm$

Hence , the length of the other diagonal is $24cm$ .