document.write( "Question 178294: A rectangular patio is 7 feet longer than it is wide. Determine the dimensions of the patio if it measures 13 feet diagonally. \n" ); document.write( "
Algebra.Com's Answer #133248 by jim_thompson5910(35256)\"\" \"About 
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Length: \"x%2B7\" and Width: \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\" Start with Pythagorean's Theorem\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B7%29%5E2%2B%28x%29%5E2=13%5E2\" Plug in \"a=x%2B7\", \"b=x\", and \"c=13\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B7%29%5E2%2B%28x%29%5E2=169\" Square 13 to get 169\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B14x%2B49%2Bx%5E2=169\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B14x%2B49%2Bx%5E2-169=0\" Subtract 169 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2%2B14x-120=0\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"2%28x%2B12%29%28x-5%29=0\" Factor\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B12=0\" or \"x-5=0\" Set each factor equal to zero\r
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\n" ); document.write( "\n" ); document.write( "\"x=-12\" (we'll ignore this one) or \"x=5\" Solve for \"x\"\r
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\n" ); document.write( "\n" ); document.write( "So the width of the patio is 5 ft. This makes the length 12 ft (add 7 to the width)
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