Question

The perimeter of a rectangle is 60 cm. The length of the rectangle is 6 cm less than twice its width. What is the area of the rectangle

A) 216cm ^2
B) 189cm^2
C) 288 cm ^2
D) 196cm^2

Answer 1

A

Explanation:

let the width be w then length = 2w - 6

perimeter (P) is calculated as

2(length + width)

given P = 60 , then

2(2w - 6 + w) = 60 ( divide both sides by 2 )

2w - 6 + w = 30

3w - 6 = 30 ( add 6 to both sides )

3w = 36 ( divide both sides by 3 )

w = 12 cm

and length = 2w - 6 = 2(12) - 6 = 24 - 6 = 18 cm

area of rectangle (A) is calculated as

A = length × width = 18 × 12 = 216 cm²