Solve the problem.
-The length of a rectangular storage room is 3 feet longer than its width. If the area of the room is 180 square feet, find its dimensions.
A)13 feet by 16 feet
B)12 feet by 15 feet
C)11 feet by 16 feet
D)11 feet by 14 feet

Question

Quizplus · Accepted Answer

Let the width of the room be $w$ feet. Then, the length is $w + 3$ feet. The area of a rectangle is given by length $\times$ width, so we have $w(w + 3) = 180$. Solving this quadratic equation, $w^2 + 3w - 180 = 0$, we find that $w = 12$ (since width must be positive). Therefore, the length is $12 + 3 = 15$ feet, making the dimensions 12 feet by 15 feet.

Solve the Problem. -The Length of a Rectangular Storage Room Is 3 Feet