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
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Perimeter = 64cm

Perimeter is the sum of all sides.

working with the ratio now = 7:1

there 7 + 1 = 8

length = 7/8y

width = 1/8y

Perimeter = (2 x 7/8y) + (2 x 1/8y) = 64

1.75y + 0.25y = 64

2y = 64

y = 32

Length = 7/8 x 32 = 28cm

Width = 1/8 x 32 = 4cm