The length of a rectangle is the sum of the width and 1. The area of the rectangle is 20 units. What is the width, in units, of the rectangle?

Width of the rectangle is 4 units

Step-by-step explanation:

Step 1: Let the width of the rectangle be x. Then the length = x + 1. Find dimensions if area = 20 sq. units

Area of the rectangle = length * width

⇒ 20 = x (x + 1)

⇒ 20 = x² + x

⇒ x² + x - 20 = 0

⇒ x² + 5x - 4x - 20 = 0 (Using Product Sum rule to factorize)

⇒ x (x + 5) - 4 (x + 5) = 0

⇒ (x + 5) (x - 4) = 0

⇒ x = - 5, 4 (negative value is neglected)

x = 4