document.write( "Question 1162769: An old dilapidated bungalow has just been bought and the new owner wanted to give a
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document.write( "fresh look by constructing a rectangular garden on its backyard. The length of a
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document.write( "rectangular garden in 5 m more than its width and the area is 50 m2
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document.write( ". Find the length,
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document.write( "width and perimeter of the garden. \n" );
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Algebra.Com's Answer #786630 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "If w meters is the width, the the length is (w+5) meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The area equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " w * (w+5) = 50. (*)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You can solve this quadratic equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " w^2 + 5w - 50 = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "using factoring\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (w-5)*(w+10) = 0,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which gives you a unique positive solution w= 5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Or you can guess the answer in 5 seconds, looking into equation (*).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The width is 5 meters, the length is 5+5 = 10 meters, and the perimeter is\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " 5 + 10 + 5 + 10 = 30 meters.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |