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The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What are the length and width?
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The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What are the length and width?
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2L + 2W = 84
L = 2W + 6
Solve the system of equations.
2(2W +6) + 2W = 84
4W + 12 + 2W = 84
6W = 72
W = 12m
l = 2(12) + 6 = 30m
Let W = width. Then length L = W + 6.
Perimeter = 2W + 2L = 2W + 2(W+6) = 4W + 12 = 84, 4W = 72, W = 18, L = 24