document.write( "Question 280958: i must find the dimension of a rectangle a with the greatest area whose perimeter is 30 ft. is the answer 10 by 5 \n" ); document.write( "
Algebra.Com's Answer #204128 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! i must find the dimension of a rectangle a with the greatest area whose perimeter is 30 ft. is the answer 10 by 5 \n" ); document.write( "--------------------- \n" ); document.write( "Area = length*width OR LW \n" ); document.write( "----------------------------- \n" ); document.write( "Perimeter = 2(L+W) \n" ); document.write( "------ \n" ); document.write( "Your Problem: \n" ); document.write( "30 = 2(L+W) \n" ); document.write( "15 = L+W \n" ); document.write( "W = 15-L \n" ); document.write( "------------------ \n" ); document.write( "Area = LW \n" ); document.write( "A = L(15-L) \n" ); document.write( "A = 15L-L^2 \n" ); document.write( "------------ \n" ); document.write( "This is a quadratic equation with a = -1 and b = 15 \n" ); document.write( "The Maximum area occurs when L = -b/2a = -15/(-2) = 7.5 \n" ); document.write( "--------------------------------- \n" ); document.write( "Answer: Length = 7.5 ft and Width = 7.5 ft. \n" ); document.write( "================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |