The ratio of two sides of a parallelogram is 2 : 3 and its perimeter is 60 cm. Find the sides of the parallelogram.

Given: The ratio of two sides of parallelogram is 2 : 3 and its perimeter is 60 cm.

To do:  Here we have to find the sides of the parallelogram.

Solution:

We know that the opposite of the parallelogram are same. So, 

The ratio of two sides of parallelogram is 2 : 3;

Let the common ratio be = $x$

Now,

$2x\ +\ 3x\ +\ 2x\ +\ 3x\ =\ 60$

$4x\ +\ 6x\ =\ 60$

$10x\ =\ 60$

$x\ =\ 6$

Therefore,

The length of each side

$2x$ = 12 cm (Two sides each)

$3x$ = 18 cm (Two sides each)

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Updated on: 10-Oct-2022

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