document.write( "Question 72919:
\n" );
document.write( "John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. \r
\n" );
document.write( "\n" );
document.write( " Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex formula to find the maximum area.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #52280 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! THE MAXIMUM AREA FOR ANY RECTANGLE IS A SQUARE. THUS: \n" ); document.write( "4X=300 \n" ); document.write( "X=300/4 \n" ); document.write( "X=75 LENGTH OF THE SIDES \n" ); document.write( "THEREFORE THE AREA IS \n" ); document.write( "75^2=5625 SQ FEET \n" ); document.write( " |