document.write( "Question 162778: As a real estate tycoon you have bought a rectangular parcel of waterfront property and want to enclose your land as follows: Using 5000 feet of fencing you want to enclose a rectangular section on only three sides using the water as the 4th side. What dimensions (length and width of the rectangle) should the enclosure be to assure maximum area? \r
\n" ); document.write( "\n" ); document.write( "I have been working on this problem for over two hours, it's ripping my mind apart! PLEASE HELP. \n" ); document.write( "

Algebra.Com's Answer #119995 by checkley77(12844) $\"\"$ $\"About$

You can put this solution on YOUR website!
THE MAXIMUM AREA FOR A FENCE AROUND 3 SIDES OF A RECTANGLE IS:
\n" ); document.write( "1*1*2=4 EQUAL MEASUREMENTS.
\n" ); document.write( "5,000/4=1250 FT.
\n" ); document.write( "SO YOU'LL HAVE 2 SIDES=1,250 EACH & 1 SIDE=2*1,250 OR 2,500 FT.
\n" ); document.write( "1,250+1,250+2,500=5,000 FT. OF FENCING.
\n" ); document.write( "1,250*2,500=3,125,000 FT^2 IS THE MAXIMUM AREA ENCLOSED.
\n" ); document.write( "PROOF:
\n" ); document.write( "REDUCE EAACH OF THE TWO 1,250 FT. FENCES BY 1 FOOT & INCREASE THE 2,500 FT FENCE BY 2 FT.
\n" ); document.write( "1,249*2,502=3,124,998 FT^2.
\n" ); document.write( "OR DECREASE THE 2,500 FT FENCE BY 1 FT & INCREASE EACH OF THE 1,250 FT FENCES BY 0.5 FT.
\n" ); document.write( "2,499*1,250.5=3,124,999 FT^2. \n" ); document.write( "

\n" );