Question

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

Answer 1

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