Question

The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm.
Find the length of the sides of the parallelogram.​

Answer 1

Perimeter = 2(l+b)= 150 cm

Let length be x.

Therefore, the breadth is x+25

Perimeter =2×(l+b)

=2(x+x+25)

=2×(2x+25)

=(2×2x)+(2×25)

=4x+50

According to the question,

4x+50 = 150

4x = 150-50

4x = 100

x = 25

x+25 = 25+25 = 50

Therefore, length and breadth of the parallelogram is 25 and 50 respectively.