SOLUTION: The perimeter of a playground is 504 and 2/3 yards. The length is 6 yards shorter than twice the width. What is the area of the playground?
Algebra.Com
Question 842202: The perimeter of a playground is 504 and 2/3 yards. The length is 6 yards shorter than twice the width. What is the area of the playground?
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
set L = length
W = width
L = 2W -6
L*W = 504 2/3
L*W = 1514/3
substitute 2W -6 for L
(2W -6)(W) = 1514/3
2W^2 -6W = 1514/3
add - 1514/3 to each side
2W^2 -6W - 1514/3 = 0
multiply by 3
6W^2 -18W -1514 = 0
W = (1/6)*(9+sqrt(9165))
W = (1/6)*(9-sqrt(9165)) , but this number is negative so does not work.
L =
RELATED QUESTIONS
The perimeter of a rectangular field is 504 yards. It's length is 6 yards shorter than... (answered by algebrahouse.com)
The perimeter of a rectangle playing field is 504 yards. its length is 6 yards shorter... (answered by sachi)
The perimeter of a rectangular Playing field is 504. It's length is 6 yards shorter than... (answered by ewatrrr)
The perimeter of a rectangle playing field is 504 yards. Its length is 6 yards shorter... (answered by rfer)
a rectangle having a perimeter of 182 yards has a width 20 yards shorter than twice its... (answered by rfer)
The area of a playground is 126 yards the width of the playground is 5 yards longer then... (answered by Cromlix)
A school playground has a perimeter of 320 yards. The playground is 20 yards longer than... (answered by Fombitz)
A rectangle's length is 504 and 2/3 yards. The length is 6 yards shorter than twice the... (answered by ankor@dixie-net.com)
The Perimeter of a playing field is 504 yards and the length is 2 times the width minus... (answered by palanisamy)