The perimeter of a basketball court is 90 m in the length is 6 m longer than twice the with what are the length and with

A basketball court is in a rectangular shape and the perimeter for a rectangle is the addition of each one of its sides or P = 2W + 2L (L = length & W = width).

P=90

L = 2w+6

With the information provided your have to formulate the equation:

90=2W+2 (2W+6)

Then solve for W:

First distribute the 2

90=2W + 4W + 12

Combine common factors

90 = 6W + 12

Subtract 12 from both sides

78 = 6W

Divide 6 on both sides

W=13

Now that you have your width, you can plug it into the equation to find the length (L=2W+6)

2 (13) + 6 = L

26 + 6 = L

32 = L

You can always double check by making sure that the totals equal 90 for the perimeter

32+32+13+13=90

2 (32) + 2 (13) = 90