document.write( "Question 1062172: Sarah is renovating her kitchen and has decided to use tiles on her countertop which is 83cm by 203cm. The tiles are octagonal and square in a pattern where four octagons around one square. The square tiles are 3cm along one side.
\n" ); document.write( "(a) Estimate the number of tiles they will need to cover the countertop.
\n" ); document.write( "(b) Each square tile costs $0.55 and each octagonal tile costs $0.78. Estimate the cost of the tiles to cover the countertop.
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Algebra.Com's Answer #677881 by jorel1380(3719)\"\" \"About 
You can put this solution on YOUR website!
The best representation I can make is 9 octagonal tiles to 4 square tiles, as seen here:

click here

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\n" ); document.write( "\n" ); document.write( "The total area for this combination of tiles is: (9 x 2(1+√2)3²) + 4(3²)=79.45 cm². The total area for the countertop is 83 x 203=16849 cm².
\n" ); document.write( "16849 / 79.45=212
\n" ); document.write( "(a) The number of tiles needed:
\n" ); document.write( "212 x 9=1908 octagonal tiles
\n" ); document.write( "212 x 4=848 square tiles
\n" ); document.write( "(b) 1908 x .78=1488.24
\n" ); document.write( " 848 x .55=466.4
\n" ); document.write( " 1488.24+466.4=$1954.64 total cost to cover the countertop. ☺☺☺☺
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