The perimeter of a basketball court is 102 meters and the length is 6 meters longer than twice the width. What are the length and? width?

Question

What Is the answer 

Answer 1

w represents the width

2w + 6 represents the length

 

w + 2w + 6 = 51

 

Can you solve for w?

Answer 2

let L=length and W-width

The formula for perimeter is

 

2L + 2W = P

 

You can substitute 2W+6 for the length since that is given in the problem. So....

 

2(2W+6) + 2W = 102      

4W + 6 + 2W = 102        use the distributive property

6w + 6 = 102                 combine like terms

       -6      -6                 undo addition

6w = 96

/6     /6                         undo multiplication

w = 16           WIDTH IS 16

 

Use substitution to find length

2L + 2(16) = 102

2L + 32 = 102

      -32    -32

2L = 70

/2    /2

L=35            LENGTH IS 35

 

 

CHECK IT!

35+35+16+16 = 102

70 + 32 = 102

102=102    YES IT CHECKS