document.write( "Question 1114154: I don't know if this is the correct topic but here is my question below:\r
\n" ); document.write( "\n" ); document.write( "The floor of a hall is covered by square tiles all of the same size laid side by side to form a rectangle of 105 tiles b 84 tiles. If you draw a line from one corner of the hall to the opposite corner of the hall, how many tiles will the line intersect? \n" ); document.write( "

Algebra.Com's Answer #729165 by rothauserc(4718) $\"\"$ $\"About$

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105 and 84 have a common factor of 21
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\n" ); document.write( "the diagonal will cross 21 times as many tiles as the diagonal of a 105/21 = 5 by 84/21 = 4 tile rectangle.
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\n" ); document.write( "Since 5 and 4 have no common factor, the answer for the small
\n" ); document.write( "rectangle is 5 + 4 - 1 = 8.
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\n" ); document.write( "The final answer is 8*21 = 168
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\n" ); document.write( "Note For the 5 by 4 tile rectangle start at one corner with one tile. What happens every time the diagonal crosses either a horizontal or vertical line? Why do we need 5 and 4 to have no common factor?
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