Question 1178876
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Presuming the number of boards on any side must be an integer, only the following dimensions are possible (excluding quarter-turn rotations):


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 Number of boards    Meters
      1 X 14          3 X 42 
      2 X 13          6 X 39
      3 X 12          9 X 36
      4 X 11         12 X 33
      5 X 10         15 X 30
      6 X  9         18 X 27
      7 X  8         21 X 24
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However, since you did not specify that the number of boards on a side had to be an integer, a square rink is possible if they were to saw two of the boards in half.


The greatest area of a rectangle with a given perimeter is a square.  So, for an integer number of boards, it must be the dimensions that are closest to a square.


For part e, calculate the area in part d, and multiply by 0.03 meters (3 cm) to get the volume of the ice in the rink.  For the wading pool, calculate the area of the upper surface and multiply by the depth at the center, then divide the result by 3. The volume of a cone is *[tex \Large V\ =\ \frac{1}{3}Bh] where *[tex \Large B] is the area of the base.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
*[illustration darwinfish.jpg]

From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> 
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