The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?

W = 17

L = 40

Step-by-step explanation:

To find the perimiter, we add 2L + 2W

So: 2L + 2W = 114

We also know that: L - 6 = 2W

So we can plug in L - 6 into the original equation

2L + L - 6 = 114

Add 6 to both sides

3L = 120

L = 40

Now we can solve for width using any of our equations. I'll use L - 6, because it's the easiest

L - 6 = 2W

40 - 6 = 2W

34 = 2W

17 = W

So

W = 17

L = 40