Question

The two sides of a parallelogram are in the ratio 5:4. If its perimeter is 54cm, find the length of the largest side.

Answer 1

2(5x+4x)=54 cm
2×9x=54 cm
18x=54
x=3
longest side
5×3 = 15cm

Answer 2

The length of the largest side of the given parallelogram is 15cm.

Given:

The two sides of a parallelogram are in the ratio of 5:4.

Its perimeter is 54cm.

To Find:

The length of the largest side.

Solution:

Let one side be of the parallelogram be  5x and another side is 4x.

Since opposite sides of a parallelogram are equal, the other two sides are 5x and 4x as well.

We know that

Perimeter of a parallelogram = 2( a + b ), where a and b are the sides of a parallelogram.

⇒ 54 = 2(5x + 4x)

⇒ 54 = 18x

⇒ x = 3

So the sides of parallelogram are of lengths 5x = 15cm and 4x =12cm.

∴ The length of the largest side of the given parallelogram is 15cm.

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