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The area of a rectangle is 84 square units. If its length is shortened by 7 units and its width by 2 units a square is formed. Determine the area of the square.

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Let s be the square.

lw=84
(l-7)=s=(w-2)
l= w+5

(w+5)w=84
multiply that out, solve for w (it is a quadratic).

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