Solve the problem.
-A flat rectangular piece of aluminum has a perimeter of 58 inches. The length is 11 inches longer than the width. Find the width.
A)9 inches
B)20 inches
C)31 inches
D)29 inches

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 is 11 inches longer than the width, we can express the length as $l = w + 11$. Substituting the given perimeter and the expression for $l$ into the perimeter formula gives $58 = 2(w + 11) + 2w$. Simplifying this equation yields $58 = 4w + 22$, and solving for $w$ gives $w = 9$ inches.

Solve the Problem. -A Flat Rectangular Piece of Aluminum Has a Perimeter of a Perimeter