The length and width of the court are 18 and 32 feet.
Let L represent the length of the rectangular court and W represent the width of the rectangular court.
The formula for determining the perimeter of a rectangle;
2(L + W)
The rectangular court has a perimeter of 100 feet.
2(L + W) = 100
L + W = 100/2 = 50 - - - - - - - - - - 1
The length of the court is 14 feet longer than the width.
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
Therefore, the length and width of the court are 18 and 32 feet.
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