You have 332 feet of fencing to enclose a rectangular region. What is the maximum area?

A. 6889 square feet

B. 6885 square feet

C. 110,224 square feet

D. 27,556 square feet

Question

You have 332 feet of fencing to enclose a rectangular region. What is the maximum area?

A. 6889 square feet	

B. 6885 square feet	

C. 110,224 square feet	

D. 27,556 square feet

anonymous · Answer

i calculated it and got A as an answer

jack1 · Answer

yep, A

jack1 · Answer

2L + 2W = 332
and L x W = y
so from eqn 1, L = 332/2 + W
so (332/2 + W) x W = y
 166W + W^2 = y
when derivative of y = 0 = maximum area
y' = 2W + 166
0  = 2W +166
-166 = 2W
W = 83

therefore as 2L +2W =332 and w = 83, L must =83 also
so L x W =A
83 x 83 = 6889

A

anonymous · Answer

http://prntscr.com/15hjiz Is its answer B

anonymous · Answer

since a fence can be a cicle 332 is circumference
C=piD=2pir=332
r=332/2pi
now Area=pir^2
we have r
find the AREA

anonymous · Answer

http://prntscr.com/15hjiz Is its answer B

jack1 · Answer

@pasta yeah but the q says "rectangular area"