Question

The length of a rectangle is 12 cm more than its width. Find the

area of the rectangle if its perimeter is 100 cm.

Answer 1

Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Explanation:

• Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm