The length of a rectangle is 8 inches longer than half of its width. The area of the rectangle is 18 square inches. How many inches wide is the rectangle

Width of the rectangle is 2 units

Step-by-step explanation:

Area of the rectangle = length × width

18 = x (8 + )

36 = x(16 + x)  (Cross multiplying 2)

36 = 16x + x²

x² + 16x - 36 = 0

x² + 18x - 2x - 36 = 0 (Using Product Sum rule to factorize)

x(x + 18) - 2(x + 18) = 0

(x + 18)(x - 2) = 0

x = -18, 2 (negative value is neglected)

x = 2 units

step-by-step explanation: