document.write( "Question 168667: The perimeter and the diagonal of a rectangle are 18m and 5 m respectively. find its area ? \n" ); document.write( "
Algebra.Com's Answer #124317 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The perimeter and the diagonal of a rectangle are 18 and 5 m respectively. find its area ? \n" ); document.write( "------------------- \n" ); document.write( "perimeter = 18m \n" ); document.write( "diagonal = 5m ? \n" ); document.write( "---------------- \n" ); document.write( "Perimeter = 2(L+W) = 18m \n" ); document.write( "L+W = 9m \n" ); document.write( "L = 9m-W \n" ); document.write( "------------- \n" ); document.write( "Using Pytagoras: \n" ); document.write( "w^2 + (9m-W)^2 = (5m)^2 \n" ); document.write( "W^2 + 81m^2 - 18mW + w^2 = 25m^2 \n" ); document.write( "56m^2 -18wm +2w^2 = 0 \n" ); document.write( "28m^2 - 9wm + 2w^2 = 0 \n" ); document.write( "m = [9w +- sqrt(81w^2 -4*28*2w^2)]/56\r \n" ); document.write( "\n" ); document.write( "m = [9w +- sqrt(-143w^2)]/56 \n" ); document.write( "---------------- \n" ); document.write( "Comment: Since you have a negative radicand you have no Real Number solution. \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |