document.write( "Question 1131035: You have 312 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area \n" ); document.write( "
Algebra.Com's Answer #747637 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A rectangle of a given perimeter has a maximum area if and only if it is a square.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the proof, see the lesson\r \n" ); document.write( "\n" ); document.write( " - A rectangle with a given perimeter which has the maximal area is a square\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "So, in your case a rectangle must be a square with the side length of 312/4 = 78 feet. Answer\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |