The length of a rectangle is the width minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of the rectangle ?

Width of the rectangle is 9 units

Step-by-step explanation:

Area of the rectangle = length × width

⇒54 = x (x - 3)

⇒54 = x² - 3x

⇒x² - 3x - 54 = 0

⇒x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)

⇒x(x + 6) - 9(x + 6) = 0

⇒(x + 6)(x - 9) = 0

⇒x = -6, 9 (negative value is neglected)

x = 9 units

9 units

Step-by-step explanation:

Area of rectangle=L*W

L=w-3,w(w-3)

w^2-3w=54

w=9