SOLUTION: 8. The official distance between the home plate and the second base in a baseball diamond is 120 ft. find the area of the official ball diamond and the distance between the bases

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Question 1166536: 8. The official distance between the home plate and the second base in a
baseball diamond is 120 ft. find the area of the official ball diamond and the distance
between the bases. ( note: the official diamond is in the form of a square)

Found 2 solutions by ikleyn, math_helper:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

From the given info, it is NOT POSSIBLE to find the area of the official ball diamond, if a reader (as me)

is not familiar with the subject.


Therefore, the problem, to be accurately posed for general public, MUST contain all necessary input.



Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

It is 90ft between bases (home to 1st, 1st to 2nd, etc.) so
the area is just one of these sides squared: 90ft%2A90ft+=+highlight%288100ft%5E2%29+

The precise length from home plate to 2nd base is 90ft*sqrt%282%29 or approximately 127ft 3in
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Not sure where the 120ft came from, unless you are talking about an "unofficial" baseball diamond.
For a square with diagonal measure 120ft, the side length is 120/sqrt%282%29 = 84.853ft and the area of such square is 7200ft%5E2