6. The length of a rectangle is 8 cm more than twice the width. The perimeter of the rectangle is 34

cm. What is the width and length of the rectangle?

Answer: Width = 3 and Length = 14

Step-by-step explanation:

Length = 2W + 8

Width = W

Perimeter = 2 (width) + 2 (length)

34 = 2W + 2 (2W + 8)

Distribute

34 = 2W + 4W + 16

Combine like terms

34 = 6W + 16

Solve for W

34 - 16 = 6W

18 = 6W

W = 3

Substitute 3 in for W in Length equation.

L = 2 (3) + 8 = 14