Question

The length of a rectangle is 30 cm more than its breadth. The perimeter of the rectangle is 180 cm. Find the length and the breadth of the rectangle.

Answer 1

Let the breath of the rectangle be x cm.
So, the length of the rectangle = (30 + x) cm
As per the given condition,
Perimeter of the rectangle = 180
⇒ 2(l + b) = 180
⇒ 2(30 + x + x) = 180
⇒ 2(30 + 2x) = 180
⇒ 60 + 4x = 180
⇒ 4x = 180 - 60
⇒ 4x = 120
⇒ x = 30
breadth = x cm = 30 cm
length = (30 + x) cm = (30 + 30) cm = 60 cm
Hence, the breadth is 30 cm and the length is 60 cm.