document.write( "Question 1195250: Eight meters of fencing are available to enclose a rectangular play area.
\n" );
document.write( " A. What is the maximum area that can be enclosed?
\n" );
document.write( " B. What dimensions produce the maximum area? \n" );
document.write( "
Algebra.Com's Answer #827682 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At given perimeter, a rectangle having maximum area is a square with the side length \r \n" ); document.write( "\n" ); document.write( "equal to one fourth (1/4) of the given perimeter.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a classic problem on finding optimal dimensions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem was solved MANY TIMES in this forum.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, I created lessons at this site, explaining the solution in all details.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The lessons are under these links\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( " - A farmer planning to fence a rectangular garden to enclose the maximal area\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read these lessons attentively.\r \n" ); document.write( "\n" ); document.write( "Consider them as your TEMPLATE.\r \n" ); document.write( "\n" ); document.write( "Having these templates in front of you, solve the GIVEN problem by the same way.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Having it written once as a lesson in compact and clear form,\r \n" ); document.write( "\n" ); document.write( "I do not see any reasons to re-write it again and again with each new given input data set.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By the way, in these lessons, you will find many useful links to accompanied lessons.\r \n" ); document.write( "\n" ); document.write( "Do not miss them.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider my lessons as your textbook, handbook, tutorial and (free of charge) home teacher.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In your case, the maximum fenced area is 4 m^2, provided by a square with the side length of 8/4 = 2 meters.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |