SOLUTION: The length of a rectangle is 6 inches more than 4 times the width. The perimeter is 162 inches. Find the length and the width.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 6 inches more than 4 times the width. The perimeter is 162 inches. Find the length and the width.      Log On


   



Question 955379: The length of a rectangle is 6 inches more than 4 times the width. The perimeter is 162 inches. Find the length and the width.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width; L=length=4W+6in; P=perimeter=162in
P=2(L+W)
162in=2(4W+6in+W) Divide each side by 2.
81in=5W+6in Subtract 6in from each side.
75in=5W Divide each side by 5
15in=W ANSWER 1: The width is 15 inches.
L=4W+6in=4(15in)+6in=60in+6in=66in ANSWER 2: The length is 66 inches.
CHECK:
P=2(L+W)
162in=2(66in+15in)
162in=2(81in)
162in=162in