Question

This is life or death please help?

Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. ? In two or more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area.

Answer 1

Here, I gtg but some of others might be able to help.
@EclipsedStar
@sleepyjess
@TheSmartone
@undeadknight26
@pooja195
@CausticSyndicalist

Answer 2

life or death? better get busy
the largest area rectangle with fixed perimeter is a square
if you can only afford 160 feet of fence, then each side of your square is one quarter of that or 40 feet
luckily \(40\times 40=1600\) so you just make it

Answer 3

But @satellite73 already got the question :P

Answer 4

Yup

Answer 5

not really in the sense that i did not make an "algebraic model" but we can do that too if you like

Answer 6

after all, it is life of death, so i guess we have some responsibility to save a life

Answer 7

lol you can count on satellite

Answer 8

if you call one side of the fence \(l\) and the width \(w\) then \(2l+2w=160\)
solving for \(l\) gives
\[l=80-w\]so the area is
\[A=w(80-w\] or
\[A=80w-w^2\]
the maximum of that parabola is at the vertex , which is \(-\frac{b}{2a}\) or in your case \(-\frac{80}{-2}=40\)

Answer 9

as promised, the square does it
just enough
now go live long and prosper, or whatever

Answer 10

Lol, thank you so much for explaining @satellite73

Answer 11

@Zarkon we should teach @satellite73 the Moore method ;)

Answer 12

that would be a good idea ;)

Answer 13

@satellite73 Is it too much to ask for help on another question?

Answer 14

@satellite73 The Moore method is where the asker does more and the helper does less work.

@Zarkon taught it to you on Thu Jun 21 2012 in this post http://openstudy.com/study#/updates/4fe3d125e4b06e92b8728b5d

Always good to refresh your memory :P

Answer 15

@TheSmartOne how do you know this stuff?
you have only been here for half a year and you can retrieve 3 year old posts?
hats off to you

Answer 16

lolololol

Answer 17

I have nothing better to do than look through old posts and find interesting stuff.

I even know @satellite73 's motto xDDD

Answer 18

His motto is "cheating is learning"

Answer 19

He did say it :P
http://openstudy.com/study#/updates/54470a2fe4b0a8c20fc2a1f9