The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The area of the resulting rectangle is 90ft squared. Find the original area of the square.

Question

Mathematics

Veronica

26 February, 08:14

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The area of the resulting rectangle is 90ft squared. Find the original area of the square.

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Answers (1)

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Kristopher Hayden · Answer 1

the original area is 64ft squared or 169ft squared more perdurable 64

Step-by-step explanation:

(x-2) (x+7) = 90

x^2 + 5x - 14=90

x^2 + 5x - 14 - 90=90-90

x^2 + 5x - 104=0

factor it out

(x-8) (x+13) = 0

so 8 or - 13