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The original square was 6 ft along each side.

Let s be the side of the original square, then:

Area_square = s x s = s2

Area_new_square = (s + 4) x (s + 4) = s2 + 8s + 16

But:

Area_new_square = Area_square + 64

=> s2 + 8s + 16 = s2 + 64

=> 8s = 48

=> s = 6

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Q: When each side of a given square is increace by 4 feet the area is increaced by 64 square feet determine the dimensions of the original square?
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