document.write( "Question 49270: find the dimentions of a rectangle( a )with the greatest area whose perimeter is 30 feet. \n" ); document.write( "
Algebra.Com's Answer #32686 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! find the dimentions of a rectangle( a )with the greatest area whose perimeter is 30 feet. \n" ); document.write( "PERIMETER(L+B)2=30 \n" ); document.write( "L+B=15 \n" ); document.write( "AREA = LB=L(15-L) \n" ); document.write( "A=-(L^2-15L)=-[L^2-2(L)(7.5)+7.5^2-7.5^2]=7.5^2-(L-7.5)^2 \n" ); document.write( "SINCE (L-7.5)^2 IS ALWAYS GREATER THAN EQUAL TO ZERO,AREA IS MAXIMUM WHEN THIS IS ZERO \n" ); document.write( "HENCE WHEN L-7.5=0....OR...L=7.5,AREA IS MAXIMIUM AND EQUAL TO 7.5^2 \n" ); document.write( "HENCE L=B=7.5 FOR MAXIMUM AREA \n" ); document.write( " |