The ratio of two sides of a parallelogram is 4:3. If its perimeter is 56 cm, find the lengths of its sides.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

We know that the opposite sides of a parallelogram are equal.

Given: Ratio of two sides of a parallelogram is 4:3

Let the lengths of two adjacent sides of the parallelogram be 4x cm and 3x cm respectively.

Then, its perimeter = 2(4x + 3x) cm = 14x cm.

14x = 56 x = .

One side = (4×4) cm = 16 cm

and other side = (3×4) cm = 12cm.

Thus, the length of the sides of the parallelogram are 16 cm, 12 cm, 16 cm and 12 cm.

Answered by  | 4th Jun, 2014, 03:23: PM