Question

Two adjacent side of a parallelogram are in the ratio of 3:2 the perimeter of the parallelogram is 72 cm find the length of each of its sides

Answer 1

$2(3x + 2x) = 72 \\ 5x = 36 \\ x = 6.1$
sides=18.3cm, 12.2cm

Answer 2

Answer:

The length of two adjacent side of a parallelogram are 21.6 cm and 14.4 cm respectively.

Step-by-step explanation:

It is given that two adjacent side of a parallelogram are in the ratio of 3:2.

Let the length of two adjacent side of a parallelogram are 3x and 2x.

The perimeter of a parallelogram is

$P=2(a+b)$

Where, a and b are two adjacent side of a parallelogram.

It is given that the perimeter of the parallelogram is 72 cm.

$72=2(3x+2x)$

$72=2(5x)$

$72=10x$

Divide both sides by 10.

$7.2=x$

The value of x is 7.2.

The length of two adjacent side of a parallelogram are

$3x=3(7.2)=21.6$

$2x=2(7.2)=14.4$

Therefore the length of two adjacent side of a parallelogram are 21.6 cm and 14.4 cm respectively.