Use an algebraic approach to solve the problem: Suppose that the width of a certain rectangle is 2 inch more than one-fourth of its length. The perimeter of the rectangle is 34 inches. Find the length and width of the rectangle.
A) 6 inches wide, 11 inches long
B) 3 inches wide, 14 inches long
C) 4 inches wide, 13 inches long
D) 5 inches wide, 12 inches long
E) 8 inches wide, 9 inches long

Question

Quizplus · Accepted Answer

Let the length be L and the width be W. According to the problem, W = (1/4)L + 2. The perimeter is given by 2L + 2W = 34. Substituting W in the perimeter equation gives 2L + 2((1/4)L + 2) = 34. Solving this equation, L = 12 and W = 5.

Use an Algebraic Approach to Solve the Problem: Suppose That