Area Problem

Question

0

1858

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

+128406

+5

Best Answer

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

CPhill · Answer 1 · 2014-12-08T08:42:09

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%