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)\"\" \"About 
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( "
\n" );