Question

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

Answer 1

(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

Answer 2

Suppose you want to build a rectangular picture frame where the width is 2 centimeters less than the length and the diagonal is 2 centimeters longer than the length. What are the dimensions of the picture frame?