Solve the problem.
-The length of a rectangular storage room is 5 feet longer than its width. If the area of the room is 104 square feet, find its dimensions.
A) w = 7 ft; l = 12 ft
B) w = 8 ft; l = 13 ft
C) w = 7 ft; l = 14 ft
D) w = 9 ft; l = 14 ft

Question

Quizplus · Accepted Answer

Let the width of the room be x, then its length is x + 5. The area of the room is x(x + 5) = 104. Solving this quadratic equation, we get x = 8 or x = -13. Since the width cannot be negative, we take x = 8. Therefore, the width is 8 feet and the length is 13 feet. So, the answer is choice B. Let the width be x. Then, length = x + 5. Area = length x width = x(x + 5) = 104. Solving this quadratic equation, we get x = 8. Therefore, width = 8 ft and length = 13 ft. Thus, the correct answer choice is B.

Solve the Problem. -The Length of a Rectangular Storage Room Is 5 Feet