Two sides of a parallelogram are in the ratio 5:3. if its perimeter is 64 cm find the length of its side.

Given :

The two sides of a parallelogram are in the ratio 5:3.

The perimeter of the parallelogram $=$ 64 cm.

To do :

We have to find the length of the parallelogram.

Solution :

Let the sides of the parallelogram be 5x and 3x.

We know that,

In a parallelogram opposite sides are equal.

Therefore,

$2(5x+3x) = 64 cm$

$2(8x) = 64 cm$

$16x = 64 cm$

$x = \frac{64}{16} cm$

$x = 4 cm$

The lengths of the sides are $5(4) cm = 20 cm and 3(4) cm = 12 cm$.

Therefore, the length of the parallelogram is 12 cm.

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Updated on: 10-Oct-2022

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