Question

find the sides of a parallelogram whose side is in the ratio 4 : 5 and its perimeter is 72 CM​

Answer 1

$\huge\bf\underline{Answer:}$

Given:

Ratio of sides of parallelogram = 4:5

Perimeter of parallelogram = 72cm

To find :

Sides of parallelogram

Solution:

The ratio of sides is 4 : 5.

So, let the adjacent sides of the parallelogram be 4x and 5x.

Perimeter of parallelogram =2(a + b)

72 = 2(4x + 5x)

9x = 36

$\boxed{x=4}$

Therefore the sides of parallelogram are

4x = 4(4) = 16 cm

5x = 5(4) = 20 cm

We know that opposite side of parallelogram are equal.

Therefore the sides of parallelogram are of length 16cm,16cm,20cm and 20cm.

__________________________

@ItsMysteriousGirl✒️

Answer 2

Given:

Ratio of sides of parallelogram = 4:5

Perimeter of parallelogram = 72cm

To find :

Sides of parallelogram

Solution:

The ratio of sides is 4 : 5.

So, let the adjacent sides of the parallelogram be 4x and 5x.

Perimeter of parallelogram =2(a + b)

72 = 2(4x + 5x)

9x = 36

x=4

Therefore the sides of parallelogram are

4x = 4(4) = 16 cm

5x = 5(4) = 20 cm

We know that opposite side of parallelogram are equal.

Therefore the sides of parallelogram are of length 16cm,16cm,20cm and 20cm.