The width of a rectangle is 4 feet less than the length. The perimeter is 24 feet. Find the length and width.
A) The length is 8 feet; the width is 4 feet.
B) The length is 12 feet; the width is 8 feet.
C) The length is 14 feet; the width is 10 feet.
D) The length is 7 feet; the width is 3 feet.
E) The length is 9 feet; the width is 5 feet.

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by 2(length + width). Let the length be L and the width be W = L - 4. Substituting into the perimeter formula gives 2(L + L - 4) = 24. Simplifying, 2L - 4 = 12, then 2L = 16, so L = 8. Therefore, W = L - 4 = 4.

The Width of a Rectangle Is 4 Feet Less Than