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The perimeter of a basketball court is 90 meters,and the length is 6 meters longer than twice the width what are the length and width.

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1 Answer

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

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