document.write( "Question 276319: Jim has designed a rectangle with an area of 100 sq feet and a perimeter of 401 ft. What are the dimentions of Jims rectangle? \n" ); document.write( "

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Jim has designed a rectangle with an area of 100 sq feet and a perimeter of 401 ft. What are the dimentions of Jims rectangle?\r
\n" ); document.write( "\n" ); document.write( "let the length be x
\n" ); document.write( "and the width be y.\r
\n" ); document.write( "\n" ); document.write( "2x+2y = 401
\n" ); document.write( "and xy = 100\r
\n" ); document.write( "\n" ); document.write( "y= 100/x\r
\n" ); document.write( "\n" ); document.write( "2x+ 2*100/x=401\r
\n" ); document.write( "\n" ); document.write( "2x^2 +200 = 401x\r
\n" ); document.write( "\n" ); document.write( "2x^2-401x+200=0\r
\n" ); document.write( "\n" ); document.write( "2x^2-400x -x +200=0\r
\n" ); document.write( "\n" ); document.write( "2x(x-200)-1(x-200)=0\r
\n" ); document.write( "\n" ); document.write( "(x-200)(2x-1)=0\r
\n" ); document.write( "\n" ); document.write( "x= 200 or 1/2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The rectangle will have dimensions of 200 by 1/2 \r
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