Question

The area of a rhombus is 72 cm² . If it's perimeter is 32 cm, find the altitude .

Answer 1

A = base$\times$ altitude
we don't know the base, we can find the length of the base from the perimeter, perimeter is the sum of the lengths of the sides, the sides of a rhombus are equal
perimeter = $4\times$ length of one side
32 cm = $4\times$ length of one side
divide both sides by 4
$\frac{32}{4}=$ length of one side
8 cm = length of one side

Thus, the base is equal to 8 cm

A = base $\times$ altitude
72= 8 $\times$ altitude
divide both sides by 8
Therefore, altitude =9 cm