document.write( "Question 1153651: How to calculate the maximum area of rectangle give the fixed perimeter of 24. \n" ); document.write( "
Algebra.Com's Answer #775911 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Maximum area of a rectangle with given perimeter is the area of a SQUARE with this perimeter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the general rule.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, in your case the perimeter is 24 units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The square with such a perimeter has the side of 24/4 = 6 units,\r \n" ); document.write( "\n" ); document.write( "and its area is 6*6 = 36 square units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is MAXIMAL possible area for rectangles with the perimeter of 24 units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |