document.write( "Question 11682: The perimeter of a rectangle is 32 inches and the area is 60 square inches. Find the length and the width of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "I drew a rectangle and labled the sides x and y.
\n" ); document.write( "I wrote the following two exuations:
\n" ); document.write( "2x+2y=32 and xy=60.
\n" ); document.write( "I am now stuck. Can you help, please?
\n" ); document.write( "

Algebra.Com's Answer #5996 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
perfect so far....\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x+2y=32 and xy=60
\n" ); document.write( "--> x+y=16 and xy=60
\n" ); document.write( "--> y = 16-x
\n" ); document.write( "--> x(16-x)=60
\n" ); document.write( "\"16x-x%5E2+=+60\"
\n" ); document.write( "\"x%5E2+-+16x+%2B+60+=+0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so we have a quadratic, which needs to be solved. Hopefully by factorisation. If not..the quadratic formula.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1x60
\n" ); document.write( "2x30
\n" ); document.write( "3x20
\n" ); document.write( "4x15
\n" ); document.write( "5x12
\n" ); document.write( "6x10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "looking at these, 6 and 10 can add to make 16, so\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(x-10)(x-6) = 0
\n" ); document.write( "so x-10=0 OR x-6=0
\n" ); document.write( "so x=10 OR x=6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, basically we have x=10, so y=6
\n" ); document.write( "or we have the opposite, x=6 and y=10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "jon.
\n" ); document.write( "
\n" ); document.write( "
\n" );