document.write( "Question 1061172: you have 60 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? \n" ); document.write( "
Algebra.Com's Answer #675977 by ikleyn(52800)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "you have 60 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize \n" ); document.write( "the enclosed area. What is the maximum area? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. \r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "A rectangle which gives the maximal area at given perimeter is a square.\r\n" ); document.write( "\r\n" ); document.write( "The side of this rectangle is 15 yards in this case.\r\n" ); document.write( "\r\n" ); document.write( "Its area is\r \n" ); document.write( "\n" ); document.write( "For this theme see the lessons\r \n" ); document.write( "\n" ); document.write( " - HOW TO complete the square to find the minimum/maximum of a quadratic function\r \n" ); document.write( "\n" ); document.write( " - Briefly on finding the minimum/maximum of a quadratic function\r \n" ); document.write( "\n" ); document.write( " - HOW TO complete the square to find the vertex of a parabola\r \n" ); document.write( "\n" ); document.write( " - Briefly on finding the vertex of a parabola\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( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Finding minimum/maximum of quadratic functions\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |