document.write( "Question 1152871: The longer side of a rectangle is four times the length of the shorter sides. If the diagonal is 17 cm long, find the dimensions of the rectangle.
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Algebra.Com's Answer #774985 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "W = width
\n" ); document.write( "L = length = 4W
\n" ); document.write( "D = diagonal = 17\r
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\n" ); document.write( "\n" ); document.write( "Using the pythagorean theorem, we find that,
\n" ); document.write( "a^2 + b^2 = c^2
\n" ); document.write( "L^2 + W^2 = D^2
\n" ); document.write( "(4W)^2 + W^2 = 17^2
\n" ); document.write( "16W^2 + W^2 = 289
\n" ); document.write( "17W^2 = 289
\n" ); document.write( "17W^2 = 289
\n" ); document.write( "W^2 = 289/17 ... divide both sides by 17
\n" ); document.write( "W^2 = 17
\n" ); document.write( "W = sqrt(17) ... apply square root to both sides
\n" ); document.write( "4W = 4sqrt(17) ... multiply both sides by 4
\n" ); document.write( "L = 4sqrt(17)\r
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\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "The exact dimensions of the rectangle are: 4sqrt(17) cm by sqrt(17) cm cm\r
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\n" ); document.write( "\n" ); document.write( "The approximate dimensions of the rectangle are: 16.492 cm by 4.123 cm\r
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\n" ); document.write( "\n" ); document.write( "since,
\n" ); document.write( "sqrt(17) = 4.123
\n" ); document.write( "4sqrt(17) = 16.492
\n" ); document.write( "approximately
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