The length of a rectangle is 9 more than the width. the area is 220 square feet. find the length and the width of the rectangle.

Question

Mathematics

Catherine Dunn

25 July, 07:04

The length of a rectangle is 9 more than the width. the area is 220 square feet. find the length and the width of the rectangle.

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Answers (1)

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Cornelius Floyd · Answer 1

A=LW and L=W+9 so

A = (W+9) W

A=W^2+9W

W^2+9W-A=0, since A=220

w^2+9w-220=0

w^2+20w-11w-220=0

w (w+20) - 11 (w+20) = 0

(w-11) (w+20) = 0

Since w>0

W=11 ft, and since L=W+9

L=20 ft