Question

A rancher has 200 ft of fencing to enclose two adjacent rectangular corrals and run a strip of fencing down between them to separate the corrals. What dimensions should be used so that the inclosed area will be a maximum?

Answer 1

@Hero or @lgbasallote

Answer 2

guess and check?

Answer 3

this is what ive got...
\[P=2x+2y~~~~~~~~~~~~~~A=xy\]\[200=2y+3x~~~~~~\implies~~~~~~y=100-{3\over2}~x~~~~~~and~~~~~~x={200\over3}~-{2\over3}~y\]\[A=\left(100-{3\over2}~x\right)\times\ x\]
\[\implies~~~~*plug~into~graphing~calculator~and~find~maximum~y-value*\]\[Max~Area~is~~ 1666~{2\over3}~ft~~~~~~\implies~~~~~~dimensions~are~~x=33{1\over3}~~and~~y=50{\]

Answer 4

\[Max~Area~is~~ 1666~{2\over3}~ft~~~~~~\implies~~~~~~dimensions~are~~x=33{1\over3}~~and~~y=50\]

Answer 5

♥ I ROCK ^_^ ♥

Answer 6

no you see there are 3 x's

Answer 7

theres a STRIP GOING DOWN THE MIDDLE which is included in the fencing....so that added equals 200