document.write( "Question 147531: Toni has 16 feet of edging to make a flower garden.She wants the garden to have the greastest possible area. What dimensions should the garden have?\r
\n" ); document.write( "\n" ); document.write( "_________________________________________________
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #107899 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Toni has 16 feet of edging to make a flower garden.She wants the garden to have the greastest possible area. What dimensions should the garden have?
\n" ); document.write( "---------------
\n" ); document.write( "If a circle:
\n" ); document.write( "Perimeter = (pi)d = 16
\n" ); document.write( "diameter = 16/pi
\n" ); document.write( "radius = 8/pi
\n" ); document.write( "Area = (pi)(8/pi)^2 = 64/pi sq ft. is approximately 20.3718.. sq ft
\n" ); document.write( "-----------------------
\n" ); document.write( "If a rectangle:
\n" ); document.write( "P = 2(l + w) = 16
\n" ); document.write( "l+w = 8
\n" ); document.write( "Area = l*w = (8-w)w = -w^2+8w
\n" ); document.write( "Maximum area occurs when w = -b/2a = -8/(-2) = 4
\n" ); document.write( "Then l + 4 = 8
\n" ); document.write( "And l = 4.
\n" ); document.write( "Area = 4*4 = 16 sq. ft.
\n" ); document.write( "-----------------
\n" ); document.write( "Conclusion:
\n" ); document.write( "Max area is a circle with perimeter = 16 ft.
\n" ); document.write( "============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );