SOLUTION: the length of a rectangular field is 50 feet more than its width. if the perimeter of the basketball court is 300 feet, what is the length of the field
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Question 963732: the length of a rectangular field is 50 feet more than its width. if the perimeter of the basketball court is 300 feet, what is the length of the field Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! W=width; L=length=W+50ft; P=perimeter=300 feet
P=2(L+W)Substitute for L.
300 feet=2(W+50ft+W) Divide each side by 2.
150 feet=2W+50ft Subtract 50 feet from each side.
100 feet=2W Divide each side by 2
50 feet=W The width is 50 feet.
L=W+50ft=50ft+50ft=100 feet ANSWER: The length is 100 feet.
CHECK:
P=2(L+W)
300ft=2(100ft+50ft)
300ft=2(150ft)
300ft=300ft
