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Rectangular field has a total perimeter of 128 feet. The width is

A
24 feet less than the length. What are the dimensions of the field?

User Friedbunny
by
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1 Answer

4 votes

Answer:

The length is 44 feet

The width is 20 feet

Explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

Perimeter = 128 feet

The width is 24 feet less than the length is written as

w = l - 24

128 = 2l + 2( l - 24)

128 = 2l + 2l - 48

Group like terms

4l = 176

Divide both sides by 4

l = 44

The length is 44 feet

Substitute l = 44 into w = l - 24

w = 44 - 24

w = 20

The width is 20 feet

Hope this helps you

User Retroj
by
5.1k points