document.write( "Question 438648: Find the length and width of a rectangle whose perimeter is 36 feet and whose area is 80 square feet. \n" ); document.write( "
Algebra.Com's Answer #303261 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the length and width of a rectangle whose perimeter \n" ); document.write( "is 36 feet and whose area is 80 square feet. \n" ); document.write( "------ \n" ); document.write( "Perimeter Eq: 36 = 2(L+W) \n" ); document.write( "Area Eq; LW = 80\r \n" ); document.write( "\n" ); document.write( "-------- \n" ); document.write( "Modify: \n" ); document.write( "L + W = 18 \n" ); document.write( "---- \n" ); document.write( "L(18-L) = 80 \n" ); document.write( "-L^2+18L-80 = 0 \n" ); document.write( "---- \n" ); document.write( "Use The Quadratic Formula to solve for \"L\": \n" ); document.write( "L = [-18 +- sqrt(18^2-4*-1*-80)]/(-2) \n" ); document.write( "--- \n" ); document.write( "L = [-18 +- sqrt(4)]/-2 \n" ); document.write( "--- \n" ); document.write( "Positive solution: \n" ); document.write( "L = [-18-2]/-2 = 10 (length) \n" ); document.write( "--- \n" ); document.write( "Since L+W = 18, W = 8 (width) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========= \n" ); document.write( " \n" ); document.write( " |