Question

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

Answer 1

Answer: length = 8 units

Width = 6 units

Step-by-step explanation:

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The length of a rectangle is 2 units more than the width. This means that

L = W + 2

The area of the rectangle is 48 units. This means that

LW = 48- - - - - - - - - - - - -1

Substituting L = W + 2 into equation 1, it becomes

W(W + 2) = 48

W² + 2W = 48

W² + 2W - 48 = 0

W² + 8W - 6W - 48 = 0

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

W - 6 = 0 or W + 8 = 0

W = 6 or W = 8

Since the width of the rectangle cannot be negative, then W = 6

L = W + 2 = 6 + 2

L = 8