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
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