document.write( "Question 969117: A rectangular lounge has an area of 70 square metres. Its perimeter is 34 metres. What are the dimensions of the lounge? \n" ); document.write( "
Algebra.Com's Answer #592089 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A rectangular lounge has an area of 70 square metres. Its perimeter is 34 metres. What are the dimensions of the lounge? \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "L*W = 70 \n" ); document.write( "L+W = 17 \n" ); document.write( "------ \n" ); document.write( "Substitute for \"L\" and solve for \"W\":: \n" ); document.write( "(17-W)W = 70 \n" ); document.write( "17W - W^2 = 70 \n" ); document.write( "---- \n" ); document.write( "Rearrange: \n" ); document.write( "W^2 - 17W + 70 = 0 \n" ); document.write( "------- \n" ); document.write( "Factor:: \n" ); document.write( "(W-10)(W-7) = 0 \n" ); document.write( "----- \n" ); document.write( "If W = 10, L = 7 \n" ); document.write( "If W = 7, L = 10 \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " \n" ); document.write( " |