document.write( "Question 304029: To fence a rectangular farm of 750m^2, 110m of fence has been used. Calculate the dimensions of the farm. \n" ); document.write( "
Algebra.Com's Answer #217816 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Area of farm = 750 sq. m\r \n" ); document.write( "\n" ); document.write( "110 meters will be the perimeter\r \n" ); document.write( "\n" ); document.write( "let one side be x\r \n" ); document.write( "\n" ); document.write( "the other side will be 110-2x /2\r \n" ); document.write( "\n" ); document.write( "Area = L * W\r \n" ); document.write( "\n" ); document.write( "x((110-2x /2)=750\r \n" ); document.write( "\n" ); document.write( "x(110-2x /2 ) =750\r \n" ); document.write( "\n" ); document.write( "110x-2x^2/ 2 =750\r \n" ); document.write( "\n" ); document.write( "110x-2x^2= 1500\r \n" ); document.write( "\n" ); document.write( "2x^2-110x+1500=0\r \n" ); document.write( "\n" ); document.write( "x^2-55x+750=0\r \n" ); document.write( "\n" ); document.write( "x^2-30x-25x+750=0\r \n" ); document.write( "\n" ); document.write( "x(x-30)-25(x-30)=0\r \n" ); document.write( "\n" ); document.write( "(x-30)(X-25)=0\r \n" ); document.write( "\n" ); document.write( "x= 30 OR 25\r \n" ); document.write( "\n" ); document.write( "The dimensions of the farm are 35 by 25 meters\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |