document.write( "Question 610811: A rectangle has a diagonal of 5 meters and perimeter of 14 meters. Find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #384598 by jim_thompson5910(35256)\"\" \"About 
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P = 2L+2W\r
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\n" ); document.write( "\n" ); document.write( "14 = 2L+2W\r
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\n" ); document.write( "\n" ); document.write( "7 = L+W\r
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\n" ); document.write( "\n" ); document.write( "L = 7-W\r
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\n" ); document.write( "\n" ); document.write( "L^2+W^2 = 5^2\r
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\n" ); document.write( "\n" ); document.write( "L^2+W^2 = 25\r
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\n" ); document.write( "\n" ); document.write( "(7-W)^2+W^2 = 25\r
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\n" ); document.write( "\n" ); document.write( "49-14W+W^2+W^2 - 25 = 0\r
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\n" ); document.write( "\n" ); document.write( "2W^2-14W+24 = 0\r
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\n" ); document.write( "\n" ); document.write( "W^2-7W+12=0\r
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\n" ); document.write( "\n" ); document.write( "(W-4)(W-3) = 0\r
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\n" ); document.write( "\n" ); document.write( "W-4=0 or W-3=0\r
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\n" ); document.write( "\n" ); document.write( "W = 4 or W = 3\r
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\n" ); document.write( "\n" ); document.write( "So the width is 3 meters and the length is 4 meters.\r
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