Question

Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.

Answer 1

4x + 6 feet

Explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet