document.write( "Question 647130: The ration of length to width of a piece of paper is 15 to 7. A diagonal drawn on the piece of paper has a length of 0.0662dam. What are the dimensions of the page in cm. Tried using the pythagorus theory, but stuck because of the unknown length and width. \n" ); document.write( "
Algebra.Com's Answer #406211 by ankor@dixie-net.com(22740)\"\" \"About 
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The ratio of length to width of a piece of paper is 15 to 7.
\n" ); document.write( " A diagonal drawn on the piece of paper has a length of 0.0662dam.
\n" ); document.write( " What are the dimensions of the page in cm.
\n" ); document.write( ":
\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "15x = the actual length
\n" ); document.write( "and
\n" ); document.write( "7x = actual width
\n" ); document.write( ":
\n" ); document.write( "Assume .0662dam means .0662 decameters (10 meters)
\n" ); document.write( ".0662 decameters = .662 meters
\n" ); document.write( ".662 * 100 = 66.2 cm
\n" ); document.write( ":
\n" ); document.write( "Using a^2 + b^2 = c^2, where
\n" ); document.write( "a = 15x
\n" ); document.write( "b = 7x
\n" ); document.write( "c = 66.2
\n" ); document.write( ":
\n" ); document.write( "(15x)^2 + (7x)^2 = 66.2^2
\n" ); document.write( "225x^2 + 49x^2 = 4382.44
\n" ); document.write( "274x^2 = 4382.44
\n" ); document.write( "x^2 = 4382.44/274
\n" ); document.write( "x^2 ~ 16
\n" ); document.write( "x = \"sqrt%2816%29\"
\n" ); document.write( "x = 4 is the multiplier
\n" ); document.write( ":
\n" ); document.write( "15*4 = 60 cm is the length
\n" ); document.write( "and
\n" ); document.write( "7*4 = 28 cm is the width
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this on a calc: enter: \"sqrt%2860%5E2%2B28%5E2%29\" results 62.2 \n" ); document.write( "
\n" );