Area of the rectangular yard = 96 square feet Let us assume the length of the yard = x feet Width of the yard = x - 4 feet Then Area of the yard = length * width 96 = x(x - 4) 96 = x^2 - 4x x^2 - 4x - 96 = 0 x^2 - 12x + 8x - 96 = 0 x(x - 12) +8(x - 12) = 0 (x - 12)(x + 8) = 0 As the value of length cannot be negative so x - 12 = 0 x = 12 So Length of the yard = 12 feet Width of the yard = x - 4 feet = 12 - 4 feet = 8 feet Then Perimeter of the yard = 2 (length + width) = 2(12 + 8) = 2 * 20 feet = 40 feet. So the perimeter of the yard is 40 feet.
