The perimeter of a college basketball court is 102 meters and the length is twice as long as the width. What are the length and width?
A basketball court is a rectangle. The perimeter P is:
P = 2l + 2w
We're also given l = 2w and P = 102. Plug these into the perimeter formula:
2(2w) + 2w = 102
4w + 2w = 102
6w = 102
Typing this equation into our calculator, we get:
w = 17
Plug this into the l = 2w formula, we get:
l = 2(17)
l = 34
A basketball court is a rectangle. The perimeter P is:
P = 2l + 2w
We're also given l = 2w and P = 102. Plug these into the perimeter formula:
2(2w) + 2w = 102
4w + 2w = 102
6w = 102
Typing this equation into our calculator, we get:
w = 17
Plug this into the l = 2w formula, we get:
l = 2(17)
l = 34