SOLUTION: Hi, I'm having trouble understanding how to set up this equation and solve it. The length of an Olympic pool is 30m greater than the width. If the area is 1000m^2, find the leng

Algebra ->  Equations -> SOLUTION: Hi, I'm having trouble understanding how to set up this equation and solve it. The length of an Olympic pool is 30m greater than the width. If the area is 1000m^2, find the leng      Log On


   

Question 1022370: Hi, I'm having trouble understanding how to set up this equation and solve it.
The length of an Olympic pool is 30m greater than the width. If the area is 1000m^2, find the length and the width.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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W=width; L=length=W+30m
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LW=Area
%28W%2B30m%29%28W%29=1000m%5E2
W%5E2%2B%2830m%29%28W%29=1000m%5E2
W%5E2%2B30W-1000=0
%28W%2B50%29%28W-20%29=0
W%2B50=0 OR W-20=0
W=-50 OR W=20
Since W=-50 makes no sense. width is 20 meters.
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W=20 meters.
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LW=1000m%5E2
L=%281000m%5E2%29%2F%2820m%29
L=50meters
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ANSWER: Length is 50 meters and width is 20 meters.
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CHECK:
LW=A
%2850meters%29%2820meteres%29=1000m%5E2
1000m%5E2=1000m%5E2
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