document.write( "Question 729580: find the number of tiles required if the floor area is 17.5 m square and tile area is 625 cm square \n" ); document.write( "

Algebra.Com's Answer #446054 by KMST(5328) $\"\"$ $\"About$

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We want both measurements in the same units
\n" ); document.write( "There are 100 centimeters in a length of 1 meter, so the conversion for square meters to square centimeters goes like this:
\n" ); document.write( " $\"1m%5E2=%281m%29%281m%29=%28100cm%29%28100cm%29=10000cm%5E2\"$
\n" ); document.write( "So $\"17.5m%5E2=17.5m%5E2%2810000cm%5E2%2F1m%5E2%29=175000cm%5E2\"$
\n" ); document.write( "To tile a surface with an area of $\"17.5m%5E2=175000cm%5E2\"$
\n" ); document.write( "using tiles with a surface area of $\"625cm%5E2\"$ per tile, we need
\n" ); document.write( " $\"175000%2F625=280\"$ tiles.
\n" ); document.write( "If the home improvement store would lend you a calculator, it is easy to do that division. Or maybe you brought a calculator, or there is a calculator function in your cell phone. Or maybe you would enjoy doing that calculation with pencil and paper.
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\n" ); document.write( "An easier calculation:
\n" ); document.write( "We are using tiles such that each has a surface area of
\n" ); document.write( " $\"625cm%5E2=%2825cm%29%2825cm%29\"$
\n" ); document.write( "How many of those tiles do we need per $\"m%5E2\"$ of floor?
\n" ); document.write( " $\"1m%5E2=%281m%29%281m%29=%28100cm%29%28100cm%29\"$
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\n" ); document.write( "At $\"4%2A4=16\"$ tiles per $\"m%5E2\"$ we will need
\n" ); document.write( " $\"17.5%2A%284%2A4%29=%2817.5%2A4%29%2A4=70%2A4=280\"$ tiles.
\n" ); document.write( "That is how I could calculate it in my head.
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