document.write( "Question 123154: A string is stretched corner to corer on a floor tiled with square tiles. If the floor is 28 tiles long and 35 tiles wide, over how many tiles does the string cover? \n" ); document.write( "

Algebra.Com's Answer #90392 by solver91311(24713) $\"\"$ $\"About$

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document.write( "The floor is 28 by 35 tiles wide, meaning the ratio of the sides of the
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document.write( "rectangle represented by the floor is 4:5.\r
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document.write( "If you had the same floor covered with rectangular tiles whose sides were in
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document.write( "ratio 4:5 and large enough that the floor would be completely covered by a
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document.write( "7 by 7 grid of these larger tiles, the string would hit each one of the larger
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document.write( "tiles at a corner.\r
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document.write( "Each one of these larger tiles, being in a 4:5 ratio length to width, would
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document.write( "cover a 4 tile by 5 tile area on the existing floor.  So all you need is a
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document.write( "diagram of 4 tiles by 5 tiles, draw a line from corner to corner and then
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document.write( "count the tiles crossed by the line.  I counted 8.  Since there are 7 of 
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document.write( "these 4 by 5 tile areas across the floor, the string mentioned in the problem
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document.write( "covers 7 times 8 or 56 tiles. \n" );
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