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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 are of the resulting rectangle is 90ft^2. Find the original area of the square.

User Xiaofu
by
3.2k points

2 Answers

6 votes

Answer:

64 ft^2

Explanation:

User Momchil Anachkov
by
3.5k points
5 votes

Answer:

64 ft^2

Explanation:

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

x^2-2x+7x-14=90

x^2+5x-104=0

factor

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

x=-13

x=8 ft original square side

area=8x8=64

User Akhil Latta
by
3.4k points