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)\"\" \"About 
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( "
\n" );