Question

A rectangle has a perimeter of 56 cm and an area of 96cm^2. Its length is 4 more than five times its width. What is the lenght and width of the rectangle?

Answer 1

L= 24cm

W= 4cm

Explanation:

Given data

Perimeter= 56cm

Area= 96cm^2

Let the width be x

W= x cm

L= 5x+4

P=2L+2W

56= 2(5x+4)+2x

56= 10x+8+2x

56-8= 12x

48= 12x

x= 48/12

x= 4cm

L= 5x+4

L= 5(4)+4

L= 20+4

L= 24cm