SOLUTION: The perimeter of a rectangle is 160 meters. If the length is 20 meters less than three times the width, find the dimensions of the rectangle. What is the length? What is the

Question 948631: The perimeter of a rectangle is 160 meters. If the length is 20 meters less than three times the width, find the dimensions of the rectangle.
What is the length?
What is the width?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
W=width; L=length=3W-20; Perimeter=2(L+W)
160 meters=2(L+W) Substitute for L
160 meters=2((3W-20)+W) Divide each side by 2.
80 meters=4W-20 Add 20 to each side.
100 meters=4W Divide each side by 4
25 meters=W ANSWER 1: The width is 25 meters.
L=3W-20=3(25)-20=75-20=55 meters ANSWER 2: The length is 55 meters
CHECK
P=2(L+W)
160 meters=2(55 meters + 25 Meters)
160 meters=2(80 meters)
160 meters=160 meters

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