Choose the one alternative that best completes the statement or answers the question.
-The plans for a rectangular deck call for the width to be 4 feet less than the length. Sam wants the deck to have an overall perimeter of 52 feet. What should the length of the deck be?
A) 4 feet
B) 28 feet
C) 19 feet
D) 15 feet

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula $P = 2l + 2w$, where $l$ is the length and $w$ is the width. Given that the width is 4 feet less than the length ($w = l - 4$), and the perimeter is 52 feet, we can set up the equation $52 = 2l + 2(l - 4)$. Solving this equation for $l$ gives us the length of 15 feet.

Choose the One Alternative That Best Completes the Statement or Answers