document.write( "Question 585449: The dimensions of a retangle are 5cm by 13m. what are the dimensions of a similar rectangle with exactly double the area? \n" ); document.write( "
Algebra.Com's Answer #373350 by jim_thompson5910(35256)\"\" \"About 
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A = LW\r
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\n" ); document.write( "\n" ); document.write( "A = 5*13\r
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\n" ); document.write( "\n" ); document.write( "A = 65\r
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\n" ); document.write( "\n" ); document.write( "Double the area to get 65*2 = 130\r
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\n" ); document.write( "\n" ); document.write( "A = LW\r
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\n" ); document.write( "\n" ); document.write( "130 = xy\r
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\n" ); document.write( "\n" ); document.write( "y = 130/x\r
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\n" ); document.write( "\n" ); document.write( "x/y = 13/5\r
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\n" ); document.write( "\n" ); document.write( "y = 13x/5\r
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\n" ); document.write( "\n" ); document.write( "y = 130/x\r
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\n" ); document.write( "\n" ); document.write( "13x/5 = 130/x\r
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\n" ); document.write( "\n" ); document.write( "13x^2 = 130*5\r
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\n" ); document.write( "\n" ); document.write( "13x^2 = 650\r
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\n" ); document.write( "\n" ); document.write( "x^2 = 650/13\r
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\n" ); document.write( "\n" ); document.write( "x^2 = 50\r
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\n" ); document.write( "\n" ); document.write( "x = sqrt(50)\r
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\n" ); document.write( "\n" ); document.write( "x = 5*sqrt(2)\r
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\n" ); document.write( "\n" ); document.write( "x = 7.0710678\r
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\n" ); document.write( "\n" ); document.write( "y = 130/x\r
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\n" ); document.write( "\n" ); document.write( "y = 130/7.0710678\r
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\n" ); document.write( "\n" ); document.write( "y = 18.384776\r
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\n" ); document.write( "\n" ); document.write( "So the dimensions are roughly 7.0710678 by 18.384776\r
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