document.write( "Question 360405: A rectangular garden, 21m^2 in area, will be fenced to keep out rabbits and skunks. Find the dimensions that will require the least amount of fencing if a barn already protects one side of the garden.
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Algebra.Com's Answer #257393 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular garden, 21m^2 in area, will be fenced \n" ); document.write( " Find the dimensions that will require the least amount of fencing if a barn \n" ); document.write( " already protects one side of the garden. \n" ); document.write( ": \n" ); document.write( "Let x = the width \n" ); document.write( "Let L = the length \n" ); document.write( ": \n" ); document.write( "since the barn is one side the perimeter: \n" ); document.write( "p = L + 2x \n" ); document.write( ": \n" ); document.write( "The given area: \n" ); document.write( "L * x = 21 \n" ); document.write( "L = \n" ); document.write( ": \n" ); document.write( "Replace L in the perimeter equation with \n" ); document.write( "p = \n" ); document.write( ": \n" ); document.write( "Graph this on a graphing calc, find the minimum (p = the y axis) \n" ); document.write( " \n" ); document.write( "min: x = 3.24 meters is the width \n" ); document.write( "L = \n" ); document.write( "L = 6.48 meters is the width \n" ); document.write( ": \n" ); document.write( "Sumarize, a garden of 6.48 by 3.24 meter gives 21 sq/m using minimum fencing. \n" ); document.write( "(About 13 meters of fencing) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this, find the area with these dimensions \n" ); document.write( "6.48 * 3.24 = 20.99 ~ 21 \n" ); document.write( " |