SOLUTION: The perimeter of a rectangular basketball court blocked off by students on a playground is 300 feet. If the length of the court is two feet more than triple the width, find the len

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The perimeter of a rectangular basketball court blocked off by students on a playground is 300 feet. If the length of the court is two feet more than triple the width, find the len      Log On


   



Question 194501This question is from textbook
: The perimeter of a rectangular basketball court blocked off by students on a playground is 300 feet. If the length of the court is two feet more than triple the width, find the length and the width of the blocked off court. This question is from textbook

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter = 2 * Length + 2 * Width
But L = 3w +2
300= 2L +2w = 2(3w+2) + 2w= 6w +4 +2w = 8w +4
296 = 8 w
w=37,,,,,,,,ANSWER
l= 3w+2 = 3*37 +2 = 113,,,,, ANSWER
,
checking
P=2l +2w = 2(113) + 2(37) = 300,,,,,ok