Question

If area of the parallelogram ABCD is 56 $m^2$, find the perimeter.

• A. 44 m
• B. 56 m
• C. 60 m
• D. 98 m

Answer 1

The correct option is A 44 m

Given, area of parallelogram = 56 $m^2$,
height of the parallelogram = EB = 7 m
and side AB = 14 m

Here, if we consider AD as the base then EB is the corresponding height.

Area of the parallelogram = base $\times$ height
$\Rightarrow$ 56 = AD $\times$ 7
So, AD = 8 m

Hence, lengths of the sides of the parallelogram are 8 m, 14 m, 8 m and 14 m.
Therefore, perimeter = sum of all sides
= 8 + 14 + 8 + 14
= 2 (14+8)
= 2 (22)
= 44 m