SOLUTION: At the Summer Olympics, basketball is played on a rectangular court. The width of the land is 1 m more than half of its length. Knowing that the perimeter of the field is 86 m, w

Question 1173776: At the Summer Olympics, basketball is played on a rectangular court. The width of the land is 1 m more than half of its length. Knowing that the perimeter of the field is 86 m, what are the dimensions of an Olympic basketball court?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

.

width of the land is 1 m more than half of its length (x). 

Let x be the Length , width is (x/2) + 1)

P = 2w + 2L

86 = 2(x/2  + 1 ) +2x

86 = x + 2 + 2x

84 = 3x

  x = 28m   and L = 14+1 = 15m

  width is  28m and length is 15m 

Checking our Answer

 P = 56m + 30m = 86m  checks

Wish You the Best in your Studies.

 

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