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Area Problem

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1. A chess board consists of 5 cm squares of blackwood for the black squares and maple for the white squares. The squares are surrounded by an 8 cm wide blackwood border. Determine the percentage of the board which is made of maple.

Thanks for the help.

Guest Dec 7, 2014

#1
+85726
+5

The total area of the board and frame is (40cm+ 8cm + 8cm) = 56cm on a side....so..... 56cm x 56cm = 3136cm^2

There are 32 maple squares on the chessboard and eah is 5cm^2.....so....their total area is 160cm^2

So      160cm^2  / 3136 cm^2 = 5/98 = about 5.1%

CPhill  Dec 8, 2014
Sort:

#1
+85726
+5

The total area of the board and frame is (40cm+ 8cm + 8cm) = 56cm on a side....so..... 56cm x 56cm = 3136cm^2

There are 32 maple squares on the chessboard and eah is 5cm^2.....so....their total area is 160cm^2

So      160cm^2  / 3136 cm^2 = 5/98 = about 5.1%

CPhill  Dec 8, 2014

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