document.write( "Question 1167614: The floor of a hall is covered by 480 pieces of square tiles of a certain size. If 3 inches were added to the length of a side of each tile, the floor could be covered by 270 tiles. Find the length of a side of the tile on the floor. \n" ); document.write( "
Algebra.Com's Answer #792381 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The ratio of the numbers of square tiles of the two sizes required to cover the floor is 480:270 = 16:9.

\n" ); document.write( "That means the ratio of the areas of the two sizes of square tiles is 9:16; and that means the ratio of the side lengths of the two sizes of tiles is 3:4.

\n" ); document.write( "So let the two side lengths be 3x and 4x. Then knowing that the side length of the larger tile is 3 inches more than the side length of the smaller,

\n" ); document.write( "\"4x-3x=3\"
\n" ); document.write( "\"x=3\"

\n" ); document.write( "ANSWER: The side length of the tiles on the floor is 3x=9 inches.

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