document.write( "Question 160319: hey,
\n" ); document.write( "could you please solve this problem for me, and thanks,\r
\n" ); document.write( "\n" ); document.write( "A rectangle, 3cm longer than it is wide, has a diagonal 15cm long. find the dimensions fo the rectangle.\r
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Algebra.Com's Answer #118269 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Draw the rectangle and its diagonal, putting\r\n" );
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document.write( "Label the width .\r\n" );
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document.write( "Since the length is 3 cm longer than the width,\r\n" );
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document.write( "label the length \r\n" );
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document.write( "Erase the upper left half of the rectangle:\r\n" );
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document.write( "That leaves a right triangle, with legs \r\n" );
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document.write( " and hypotenuse .\r\n" );
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document.write( "So we use the Pythagorean theorem:\r\n" );
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document.write( " with \r\n" );
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document.write( "Divide through by 2:\r\n" );
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document.write( "Think of two integers which\r\n" );
document.write( "have product -108 and combine\r\n" );
document.write( "to give +3:\r\n" );
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document.write( "They are -9 and +12, so the\r\n" );
document.write( "left sides factors as:\r\n" );
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document.write( "Use the zero-factor principle\r\n" );
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document.write( "We choose the positive value for the width,\r\n" );
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document.write( "Therefore the width = 9cm\r\n" );
document.write( "and the length = w+3 = 9+3 = 12cm\r\n" );
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document.write( "Edwin

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