Question 537699: the lenght of a tennis court is 24ft more than twice the width. the area is 2106 sq feet, find the lenth and width of the tennis court. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the length of a tennis court is 24ft more than twice the width.
Let width be "x"
Then length is "2x+24"
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the area is 2106 sq feet, find the length and width of the tennis court.
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Equation:
x(2x+24) = 2106
2x^2+24x-2106 = 0
x^2+12x-1053 = 0
Factor:
(x-27)(x+39) = -
Positive solution:
x = 27 ft (width)
2x+24 = 78 ft (length)
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Cheers,
Stan H.
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