Problema Solution
Labron found that the basketball court in his new Miami home has a perimeter of 288 feet and that the width of the court is 44 feet less than its length. in the feet, what is the width of the basketball court ?
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let
w = the width of the field
l = the length of the field
P = 288 ft is the perimeter of the field
the width of the court is 44 feet less than its length:
w = l - 44
the perimeter of a rectangle is: P = 2(l + w) thus we have
2(l + w) = 288 divide both sides by 2
l + w = 144
by solving the system of equations:
w = l - 44
l + w = 144
we find:
l = 94 ft
w = 50 ft
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the width of the basketball court is 50 ft.