document.write( "Question 997342: Among all rectangles that have a perimeter of 170, find the dimensions of the one whose area is largest. Write your answers as fractions reduced to lowest terms. \n" ); document.write( "
Algebra.Com's Answer #615466 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! L*W=170 \n" ); document.write( "2L+2W=170 \n" ); document.write( "L+W=85 \n" ); document.write( "L=(85-W) \n" ); document.write( "(85-W)*W is a maximum \n" ); document.write( "-W^2+85W=0 \n" ); document.write( "The vertex x value is -b/2a \n" ); document.write( "=85/2 with minus signs gone \n" ); document.write( "42.5 or (85/2) units for both L and W \n" ); document.write( "It is a square. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |