document.write( "Question 265935: Enclosing the Most Area with a Fence. A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders a river, what is the largest area tha can be enclosed? (see figure)
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Algebra.Com's Answer #195470 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! THE FORMULA IS: \n" ); document.write( "X(4,000-2X) \n" ); document.write( "4,000X-2X^2 \n" ); document.write( "2X^2-4,000X \n" ); document.write( "2(X^2-2,000X) \n" ); document.write( "NOW YOU NEED TO COMPLETE THE SQUARE \n" ); document.write( "2(X^2-2,000X+1,000,000)=2*1,000,000 \n" ); document.write( "(X-1,000)^2=0 \n" ); document.write( "X=1,000 FOR THE SHORT SIDE MEASUREMENT. \n" ); document.write( "2*1,000=2,000 FOR THE LONG SIDE. \n" ); document.write( "X+X+2X=4,000 \n" ); document.write( "4*1,000=4,000 \n" ); document.write( "4X=4,000 \n" ); document.write( "4*1,000=4,000 \n" ); document.write( "4,000=4,000 FOR THE FENCE LENGTH. \n" ); document.write( "AREA=2*1,000,000=2,000,000 ANS. FOR THE MAXIMUM AREA. \n" ); document.write( " |