Question

The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area

of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?

Answer 1

Explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm