SOLUTION: Farmer Dan has 167 meters of fence with which to enclose a field. The length of the field is 20 meters more than 3 times its width. What is the length of the field?

Algebra ->  Rectangles -> SOLUTION: Farmer Dan has 167 meters of fence with which to enclose a field. The length of the field is 20 meters more than 3 times its width. What is the length of the field?      Log On


   



Question 729403: Farmer Dan has 167 meters of fence with which to enclose a field. The length of the field is 20 meters more than 3 times its width. What is the length of the field?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
P=2L+2W
L=3W+20
167=2(3W+20)+2W
167=6W+40+2W
167=8W+40
8W=167-40
8W=127
W=127/8
W=15.875 METERS FOR THE WIDTH.
L=3*15.785+20
L=47.625+20
L=67.625 ANS. FOR THE LENGTH.
PROOF:
167=2*67.625+2*15.875
167=135.25+31.75
167=167