# Kyle has indoor basketball court. the rectangular court has a perimeter of 100 feet. the length of the court is 14 feet

2 answers

###### Question:

Kyle has indoor basketball court. the rectangular court has a perimeter of 100 feet. the length of the court is 14 feet longer than the width. find the length and width of the court?

## Answers

L=14+W

p=L+w

100=(14+W)+W

2W=86

W=43 L=57

the length of the rectangular court is 32 feet

The width of the rectangular court is 18 feet

Step-by-step explanation:

Let L represent the length of the rectangular court.

Let W represent the width of the rectangular court.

The formula for determining the perimeter of a rectangle is

2(L + W)

The rectangular court has a perimeter of 100 feet. This means that

2(L + W) = 100

L + W = 100/2 = 50 - - - - - - - - - - 1

The length of the court is 14 feet longer than the width. This means that

L = W + 14

Substituting L = W + 14 into equation 1, it becomes

W + 14 + W = 50

2W + 14 = 50

2W = 50 - 14 = 36

W = 36/2 = 18

Substituting W = 18 into L = W + 14, it becomes

L = 18 + 14 = 32 feet

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