The length of a rectangular sheet of paper is 5 centimeters more than twice its width and the area of the rectangle is 75 square centimeters. Find the length of the rectangle.
A) 15 cm
B) 17 cm
C) 14 cm
D) 13 cm
E) 16 cm

Question

Quizplus · Accepted Answer

The length (L) can be expressed as L = 2W + 5, where W is the width. The area of the rectangle is given by the formula A = L*W = 75. Substituting the expression for L gives us (2W + 5)*W = 75. Solving this quadratic equation for W and then finding L gives us the length of the rectangle as 15 cm.

The Length of a Rectangular Sheet of Paper Is 5