A farmer with 2070 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed? Give your answer correct to the nearest square meter.

Question

amistre64 · Answer

2070/3 per side would make a square; and a square holds the largest area

anonymous · Answer

sooo 2070/3=690 

690*690=476100

but thats not right .. sorry i suck at math

amistre64 · Answer

476,100 is the right math to it

amistre64 · Answer

lets work it out the long way ..... i spose :)

anonymous · Answer

ok:)

amistre64 · Answer

Area = xy
P = 2x + y = 2070;  y = 2070 -2x

Area = x(2070 -2x)
        = 2070x -2x^2

Area' = 2070 -4x, =0 at x = 2070/4

anonymous · Answer

its for a webassign (online quiz) and i put that answer in but it keeps saying its wrong :(

amistre64 · Answer

y = 2070 - 2(2070)/4
   = 2070 - 2070/2
   = 2070 - 1035
   = 1035

try;  2070(1035)/4

anonymous · Answer

ok ill try it ! 
:)

amistre64 · Answer

535612.5 is the max area then

anonymous · Answer

yesss :) that was correct thanks sooooo much :)

anonymous · Answer

can you help me with one more?