document.write( "Question 1107907: A rancher is building a pen using 150 feet of fencing. The pen will be enclosed on 3 sides, with the fourth side shared by an already existing pen. What is the function of the area of the new pen? \n" ); document.write( "
Algebra.Com's Answer #722962 by JThomson(12)![]() ![]() You can put this solution on YOUR website! Assuming the pen has one of its lengths shared be existing pen then;\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2B + L = perimeter\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2B + L = 150\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But L=150-2B or B = 1/2(150-L)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So Area of the pen is;\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = B(150-2B) or 1/2(150L-L^2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 150B-2B^2 where L and B are the Length and \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "breadth respectively.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note that Area (A) could also be 1/2(150B-B^2) \r \n" ); document.write( "\n" ); document.write( "when one of the widths is shared by a pen in \r \n" ); document.write( "\n" ); document.write( "which case 2L+B=150\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |