Question

Two sides of a parallelogram are in the ratio 4 : 3. If its perimeter is 56 cm, find the lengths of its sides.

Answer 1

Two sides of a parallelogram are in the ratio 4:3.
Let the two sides be 4x and 3x.
In a parallelogram, opposite sides are equal and parallel. So, they are also in the ratio of 4:3, i.e. 4x and 3x.
Perimeter = 4x + 3x + 4x +3x
56 = 14x
x = $\frac{56}{14}$

x = 4

∴ 4x = 16
3x = 12
Length of its sides are 16cm, 12 cm, 16cm and 12cm.