The combined area of two squares is 100 square meters . Each side of the larger square is two meters longer than a side of the smaller square . Find the lengths of the sides of each square .

Answer 1

(x+2)^2 +x^2 = 100

2x^2+ 4x + 4= 100

x^2 +2x - 48 = 0

(x+8)(x-6) = 0

x = 6 meters = side of the smaller square

8 meters = side of the larger square