## Elementary Geometry for College Students (7th Edition) Clone

Lets assume that the side of square = x As we know the area of square = side * side = $x^{2}$ Perimeter of square = 4* side = 4x by given condition $x^{2}$ - 4x=32 $x^{2}$ - 4x - 32 = 0 $x^{2}$ - 8x +4x -32 = 0 x(x-8) +4(x-8)=0 (x+4) (x-8) = 0 x+4 = 0 x = -4 x-8 = 0 x =8 The length of the square cannot be negative so length of the square is 8 units.