The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?

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Answer 1 · 2018-02-11T16:15:46

Width #17# meters and the width is #40# meters.

Let the width be #x#. Then the length is #2x + 6#.

We know #P = 2w + 2l#.

#x + 2x + 6 + x + 2x + 6 = 114#

#6x + 12 = 114#

#6(x+ 2) = 114#

#x+ 2 = 19#

#x= 17#

Because #W = 2x + 6#, #W = 2(17 + 6) = 40#.

Hopefully this helps!

The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and​ width?