Question

A rectangular field is to be subdivided in 7 equal fields. There is 1850 feet of fencing available.

Find the dimensions of the field that maximizes the total area. (List the longer side first)
Width = __feet Length = __feet
What is the maximum area ?

Answer 1

1850=8W+2L
L=925-4W

area=L*W
area=W*(925-4W)
area=925W-4W^2

da/dw (derivative)=925-8W
8W=925
W=115.625

L=1850-4W
L=1850-4(115.625)
L=1387.5

Max= (1387.5*115.625)=160429.6875

Answer 2

thank you!!!

Answer 3

Your welcome

Answer 4

wait..

Answer 5

Yes?

Answer 6

i did all this, and i looked at my work and just had a miscalculation. so then i fixed what i did wrong and i entered it into my hw online but it says it's incorrect.

Answer 7

what should i do?

Answer 8

Maybe your homework rounds the length and width to the nearest foot

Answer 9

oooo ok

Answer 10

If that does not work let me know

Answer 11

it's not working

Answer 12

Does it say all three are incorrect or just one?

Answer 13

the length says that it is 115.625. everything else is incorrect

Answer 14

Oh I know why L=925-4W

L=462.5

Area= 53476.6525

Answer 15

Before I had calculated L=1850-4W.. my apologies

Answer 16

no no worries! thank you very much! =)

Answer 17

No problem, have a nice day. Bye.