Question

If the length of of one diagonal is of a rhombus of area is 96cm is 12cm,then what is the length of the other diagonal?

Answer 1

Given:

Area of rhombus = 96 cm

One diagonal = 12 cm

To find:

The other diagonal.

Solution:

We know that,

$\text{Area of a rhombus}=\dfrac{1}{2}\times d_1\times d_2$

where, $d_1\text{ and }d_2$ are two diagonals of the rhombus.

Putting the given values, we get

$96=\dfrac{1}{2}\times 12\times d_2$

$96=6\times d_2$

Divide both sides by 6.

$\dfrac{96}{6}=d_2$

$16=d_2$

Therefore, the length of the other diagonal is 16 cm.