Question

If length of diagonal of a rhombus whose area $216c{m}^2$ is $24cm,$ then find the length of second diagonal.

• A. $18cm$
• B. $1cm$
• C. $36cm$
• D. None of these

Answer 1

The correct option is A $18cm$

Let $d_1$ and $d_2$ be the diagonals of the given rhombus.

Then, $d_1=24cm$ and $d_2=?$

Now,Given: Area of rhombus $=216c{m}^2$

$\Rightarrow \frac{1}{2}\times d_1\times d_2=216$

$\Rightarrow \frac{1}{2}\times 24\times d_2=216$

$\Rightarrow d_2=216\times 2\times \frac{1}{24}$

$\Rightarrow d_2=18$

$\therefore$ Length of second diagonal $=d_2=18cm$

So, $\text{A}$ is the correct option.