SOLUTION: A rectangle has a length of 21 yards less than 10 times its width. If the area of the rectangle is 2533 square yards, find the length of the rectangle.

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Question 1008567: A rectangle has a length of 21 yards less than 10 times its width. If the area of the rectangle is 2533 square yards, find the length of the rectangle.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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W=width; L=length=10W-21
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A=LW
2533=(10W-21)(W)
2533=10W^2-21W
0=10W^2-21W-2533
0=(10W+149)(W-17)
10W+149=0 -OR- W-17=0
10W=-149 -OR- W=17
W=-14.9 -OR- W=17
ANSWER 1: Width is 17 yards
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L=10W-21=10(17)-21=170-21=149
ANSWER 2: Length is 149 yards.
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CHECK:
LW=A
(149)(17)=2533
2533=2533
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