Question

George is putting trim around his rectangular deck, including the gate. He will need 50 feet of trim to do the entire deck. If the deck is 15 feet long, how wide is the deck?OA. 8 feetOB. 25 feetOC. 10 feetOD. 20 feet

Answer 1

George is putting trim around the rectangular deck, this means that he is surrounding the deck's perimeter with trim.

You know that he needs 50ft of trim to do the entire deck, this value represents the perimeter of the rectangular deck, and the length of the deck is 15ft.

Knowing the perimeter (P) and the length (l) of the rectangular deck, you can calculate the width (w) of the deck.

The formula for the perimeter of the rectangle is:

`P=2l+2w`

Write the formula for w:

`\begin{gathered} P=2l+2w \\ P-2l=2l-2l+2w \\ P-2l=2w \\ (P-2l)/(2)=(2w)/(2) \\ w=(P-2l)/(2) \end{gathered}`

Use P=50ft and l=15ft to calculate the width:

`\begin{gathered} w=(50-(2*15))/(2) \\ w=(50-30)/(2) \\ w=(20)/(2) \\ w=10ft \end{gathered}`

The width of the deck is 10ft (option C)