document.write( "Question 460235: what is the maximum possible area of a rectangle with a perimeter of 14 \n" ); document.write( "
Algebra.Com's Answer #315669 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! what is the maximum possible area of a rectangle with a perimeter of 14 \n" ); document.write( "----- \n" ); document.write( "Perimeter = 2(L + W) = 14 \n" ); document.write( "L+W = 7 \n" ); document.write( "---- \n" ); document.write( "L = 7-W \n" ); document.write( "--------- \n" ); document.write( "Area = LW \n" ); document.write( "Solve: (7-W)W = maximum Area \n" ); document.write( "---- \n" ); document.write( "A = 7W-W^2 \n" ); document.write( "---- \n" ); document.write( "Maximum A occurs when W = -b/(2a) = -7/(2*-1) = 3.5 \n" ); document.write( "----- \n" ); document.write( "Max Area = 3.5*3.5 = 12.25 sq. units \n" ); document.write( "======================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |