Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The perimeter of a rectangular room is 196 feet. Find the length and width of the room if the length is 8 feet longer than twice the width.
A) width = 30 feet; length = 68 feet
B) width = 35 feet; length = 78 feet
C) width = 45 feet; length = 53 feet
D) width = 60 feet; length = 136 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 length (l) is 8 feet longer than twice the width (w), we can express this as l = 2w + 8. The perimeter is given as 196 feet, so substituting the expression for l into the perimeter formula gives 2(2w + 8) + 2w = 196. Simplifying this equation leads to the width being 30 feet and the length being 68 feet, which matches option A.

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