Question

Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?

Answer 1

Answer:

(4x + 22) feet

Step-by-step explanation:

Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?

A patio deck = Rectangular in shape

Hence:

The formula for the Perimeter of a rectangle = 2L + 2W

Where

L = Length

W = Width

The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet.

The perimeter of the deck =

2(x + 8)feet + 2(x + 3)feet

= (2x + 16) feet +( 2x + 6)feet

= (2x + 2x + 16 + 6) feet

= (4x + 22) feet

Therefore, the perimeter of the deck = (4x + 22) feet