SOLUTION: A school playground has a perimeter of 320 yards. The playground is 20 yards longer than three times its width. What is the width of the playground?

Algebra ->  Rectangles -> SOLUTION: A school playground has a perimeter of 320 yards. The playground is 20 yards longer than three times its width. What is the width of the playground?      Log On


   

Question 1051650: A school playground has a perimeter of 320 yards. The playground is 20 yards longer than three times its width. What is the width of the playground?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle has a perimeter of,
P=2L%2B2W
2L%2B2W=320
L%2BW=160
and
L=3W%2B20
Substituting,
3W%2B20%2BW=160
4W=140
W=35yds
and
L%2B35=160
L=125yds