The dimensions of a rectangle can be given by x+7 and x+2. If the area of the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?

Question

Mathematics

Javon Lucero

8 February, 04:14

The dimensions of a rectangle can be given by x+7 and x+2. If the area of the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?

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Answers (1)

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Nathanial Shah · Answer 1

(x+7) (x+2) = 66

x²+9x+14=66

x²+9x-52=0

(x-4) (x+13) = 0

x=4 or x=-13

x cannot be negative, so the only answer is x=4

the length is 11 and the width is 6