# The length of a rectangle is three ft more than the width. The area of the rectangle is 28 ft. Find the width of the rectangle.?

a.4 ft

b.3 ft

c.-4 ft

d.-3 ft

### 2 Answers

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- MichaelLv 74 weeks ago
length of a rectangle is three ft more than the width

l = w + 3

The area of the rectangle is 28 ft

l * w = 28

Substitute for l = w + 3

(w + 3) * w = 28

w² + 3w = 28

Subtract 28 from both sides

w² + 3w - 28 = 0

Factor

(w + 7)(w - 4) = 0

w = {-7, 4}

The width must be positive

Width = 4 ft <––––– answer a

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