A rectangle has a length of x centimeters and the width is one third its length. If the perimeter is 75, what is the length and the width?

Question

A rectangle has a length of x centimeters and the width is one third its length. If the perimeter is 75, what is the length and the width?

Answer 1

L=x

w = x/3

Perimeter= 2L+2w = 2x +2x/3 = 8x/3=75

8x= 75(3)= 225

x = 225/8 = 28.125 cm = 28 1/8 Length

w=about 9.4 cm or 225/24 or 9.375= 9 3/8 cm wide