The length of a rectangular sheet of paper is 1centimeter more than twice its width and the area of the rectangle is 105 square centimeters. Find the length of the rectangle.
A) 16 cm
B) 13 cm
C) 17 cm
D) 15 cm

Question

Quizplus · Accepted Answer

Let the width be x cm. Then the length is 2x + 1 cm. The area is given by width * length = 105, so x(2x + 1) = 105. Solving the quadratic equation 2x^2 + x - 105 = 0 gives x = 7. Therefore, the length is 2(7) + 1 = 15 cm.

The Length of a Rectangular Sheet of Paper Is 1centimeter