# algebra

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suppose you want to build a rectangular sandbox where the width is 4 ft less than the length and the diagonal is 4 ft longer than the length. what are the dimensions

• algebra -

(x+4)^2 = x^2 + (x-4)^2

x^2 + 8 x + 16 = x^2 + x^2 - 8 x + 16

x^2 -16 x = 0
x = 0 or x = 16
so x = 16
12, 16, 20

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