Question

A rectangle with a perimeter of 64 centimeters has a length and width in a ratio of 7:1. What

are the length and width?
length =
centimeters
width =
centimeters

Answer 1

length = 28 cm

width = 4 cm

Explanation:

perimeter = (2 x length) + (2 x width)

perimeter = 64 cm

ratio of length and width = 7 : 1

total ratio of length and width is 8 = a

length = (7/8)a

width = (1/8)a

perimeter = (2 x 7/8)a + (2 x 1/8)a = (14/8)a + (2/8)a = (16/8)a = 2a = 64

a = 64 : 2 = 32 cm

length = 7/8 x 32 = 28 cm

width = 1/8 x 32 = 4 cm