Question 1135914: The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What are the length and width? Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! 2L + 2W = Perimeter
2L + 2W = 84
and we have that:
L = 2W + 6
Rewrite substituting for L:
2(2W + 6) + 2W = 84
4W + 12 + 2W = 84
6W = 72
W = 12
So now we know that the width is 12. Let's find the length:
L = 2W + 6
L = 2(12) + 6
L = 24 +6 = 30
The length is 30
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check:
2L + 2W = 84
2(30) + 2(12) = 84
60 + 24 = 84 Correct
