The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of the rectangle?

Length of the rectangle is 8 units

Step-by-step explanation:

Step 1: Find the length, let width be x.

Area of the rectangle = 48 units

Length = x + 2

⇒ Area = Length * Breadth

48 = x (x + 2)

48 = x² + 2x

x² + 2x - 48 = 0

x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)

x (x + 8) - 6 (x + 8) = 0

(x - 6) (x + 8) = 0

⇒ x = 6, - 8 (negative value is neglected)

∴ x = 6

x + 2 = 8