SOLUTION: I cannot even start this problem or try to get in ANY type of quadratic format. Can you please help? The distance from first to second base in indoor baseball is 33 feet less

Question 71282: I cannot even start this problem or try to get in ANY type of quadratic format. Can you please help?

The distance from first to second base in indoor baseball is 33 feet less than the corresponding distance in softball. The square bounded by the bases of an indoor baseball diamond is 2871 square feet less in area than that bounded by the bases of a softball diamond. Find the distance from one base to the other in indoor baseball.

Please help! thanks!
-C. Johnson
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x=distance from 1st to 2nd in softball
Then (x-33)=distance from 1st to 2nd in indoor baseball
And =area of the square bounded by the bases in softball
And =area of the square bounded by bases in indoor baseball
Now we are told that the area of the square bounded by indoor baseball is 2871 sq ft less than the area of the square bounded by the bases in softball. So our equation to solve is:
get rid of parens
subtract from both sides
collect like terms
subtract 3960 from both sides
divide both sides by -66
ft---------------distance from 1st to 2nd in softball

ft----distance from 1st to 2nd in indoor baseball
CK

Hope this helps---ptaylor

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