The dimensions of a square are altered so that one dimension is increased by 7 feet and the other is decreased by 2 feet. the area of the resulting rectangle is 90 square feet. find the original area of the square

I got 64 square feet.

My work is shown in the image.

For possible questions:

1: you can find x+7 and x-2 because the sides of the square can be measured as x, and x+7 means 7 more than the original; x-2 means 2 less than the original.

2: solved via factoring. Not sure if you've learned it or not.

3: reject the negative numbers because you can't have negative sides in a square.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363

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step-by-step explanation:

64087235609746097215074621039754021037