Ask your own question, for FREE!
Mathematics 48 Online
OpenStudy (anonymous):

Suppose that a rectangular area is to be fenced, except one side must be fenced twice because it runs along a river. If the amount of fencing is 320 yards in length, what is the maximum area that can be fenced? I see this question answered below, but We need to maximize the area, which is xy. From the perimeter, y = 160-3/2x so, area = xy = 160x - 3/2(x^2) - why is this x squared? and once you derive the ax^2+bx+c=0 formula, how do you maximize the area?

OpenStudy (anonymous):

P=3L+2W=320 3L=320-2W L=320/3-2W/3

OpenStudy (anonymous):

my professor has it as P=2L+3W=320, and still comes up the same L=320/3-2/3w - which obviously if you solve for L, it yields a different answer. Is the end outcome the same regardless of what side of the fence you assign the double fencing to?? The problem does not specify what side they are adding the double fence to.

OpenStudy (anonymous):

Yes, you are right it doesn't really matter which side to double. I did it because of your second posting.

OpenStudy (anonymous):

if L=320/3-2W/3, then for arae you will multiply L*W L*W=(320/3-2W/3)*W=320W/3-2W^2/3

OpenStudy (anonymous):

This quadratic equation with negative first coefficient. For max you need to find coordinates of a vertex (-b/2a, f(-b/2a)). First coordinate is width, the second is max area. Can you do the rest by yourself?

OpenStudy (anonymous):

I think so. thanks for your help

OpenStudy (anonymous):

You are welcome. Hope it helps.

OpenStudy (anonymous):

L=320/3-2w/3, how does this equal 320-160/3?

OpenStudy (anonymous):

it doesn't

OpenStudy (anonymous):

OpenStudy (anonymous):

this is the answer key my professor gave me if u have a sec to look. I do not understand I guess.. maybe I am just dumb.

OpenStudy (anonymous):

mid term is in 7 hours. 2nd one this week...

OpenStudy (anonymous):

your professor gave you very good and detailed answers. I would say much better that I was telling you. Can you tell me where you get lost?

OpenStudy (anonymous):

The length of L=320/3-2w/3 =320-160/3 - i dont understand where she gets the 160

OpenStudy (anonymous):

we were talking about vertex. -b/2a=80. THis is value of W. Then she plug it into formula, replacing W with value 80, she gets 160/3

OpenStudy (anonymous):

ahh perfect. thank you again, that sums it up for me !!

OpenStudy (anonymous):

I am glad that I helped. If you have chance, print out answers and try to do your test one more time tomorrow. If you get confused, you can look at detailed explanation. Of course if you will have time! Good luck on your midterm!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
PureSoulless: Test.
27 minutes ago 7 Replies 0 Medals
XxXImHerXxX: can y'all send me a pm ? It wont work
1 minute ago 18 Replies 1 Medal
ShadowKid3: I drew Leon from Brawl Stars and want feedback on it
6 minutes ago 9 Replies 5 Medals
XShawtyX: Rate the art ud83cudfa8
4 hours ago 20 Replies 6 Medals
randogirl123: what are some things that i can add to my sketch *feedback*
7 hours ago 20 Replies 1 Medal
ThanosQC: What sounds better? Looking for feedback-
5 hours ago 12 Replies 4 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!