SOLUTION: Hi, I was hoping you can help me on this: The perimeter of a professional NBA basketball court is 300 feet. If the length of the court is two feet more than triple the width, fi

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hi, I was hoping you can help me on this: The perimeter of a professional NBA basketball court is 300 feet. If the length of the court is two feet more than triple the width, fi      Log On


   

Question 204664: Hi, I was hoping you can help me on this:
The perimeter of a professional NBA basketball court 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.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the perimeter of a rectangle:
P+=+2%28L%2BW%29 where L = length and W = width.
From the problem, you have:
1) 2%28L%2BW%29+=+300 "The perimeter...is 300 feet.
2) L+=+3W%2B2 "...the length is...two feet more than triple the width,..."
Substitute equation 2) into equation 1) and solve for W.
2%28%283W%2B2%29%2BW%29+=+300 Divide both sides by 2.
%283W%2B2%29%2BW+=+150 Simplify the left side.
4W%2B2+=+150 Subtract 2 from both sides.
4W+=+148 Divide both sides by 4.
highlight%28W+=+37%29feet.
L+=+3W%2B2 Substitute W = 37.
L+=+3%2837%29%2B2
L+=+111%2B2
highlight%28L+=+113%29feet.