The W
Views: 100058233
Main | FAQ | Search: Y! / G | Calendar | Color chart | Log in for more!
25.10.14 2019
The W - Random - The weird question thread Register and log in to post!
Thread rated: 7.31
Pages: 1
(231 newer) Next thread | Previous thread
User
Post (6 total)
Mike Zeidler
Pepperoni








Since: 27.6.02

Since last post: 74 days
Last activity: 33 days
#1 Posted on | Instant Rating: 5.85
This has been bugging me for a while. Say you are doing some home improvements. You want to expand your 12 x 12 bedroom a bit so you bump it out a bit and add three feet along one wall. Your significant other then says they can't live without a new closet, so you build a three foot deep closet along the newly shorter of the walls. Basically your room has gone from 12 x 12 or 144 sq ft to 9 x 15 or 145 sq ft.

My question is, if the linear distance is the same, why isn't the area?



"Tattoos are the mullets of the aughts." - Mike Naimark
Promote this thread!
CRZ
Big Brother
Administrator








Since: 9.12.01
From: ミネアポリス

Since last post: 1 day
Last activity: 2 hours
AIM:  
ICQ:  
Y!:
#2 Posted on | Instant Rating: 8.85
    Originally posted by Mike Zeidler
    This has been bugging me for a while. Say you are doing some home improvements. You want to expand your 12 x 12 bedroom a bit so you bump it out a bit and add three feet along one wall. Your significant other then says they can't live without a new closet, so you build a three foot deep closet along the newly shorter of the walls. Basically your room has gone from 12 x 12 or 144 sq ft to 9 x 15 or 145 sq ft.

    My question is, if the linear distance is the same, why isn't the area?
Well, you're going to hate the obvious answer, but: Linear distance and area are not related.

Taken to an extreme, a 1 x 23 hallway would ALSO have the same linear distance, but only 23 ft².

You can probably do some fancy stuff with hypotenuses in there too and maybe even get a better answer, but I'm not bored enough.

EDIT: Or "perimeter/area ratio"

(This isn't "One Question..." material - moved to Random)

(edited by CRZ on 19.10.09 1701)











Mr. Boffo
Scrapple








Since: 24.3.02
From: Oshkosh, WI

Since last post: 454 days
Last activity: 414 days
#3 Posted on | Instant Rating: 5.29
Also, 9 x 15 is 135 sq ft.

If you want to maximize area, you need to make a circular room. A circular room with a circumference of 48 feet (which is the same distance around as your 12 x 12 room) would have about 183 sq ft.
samoflange
Lap cheong








Since: 22.2.04
From: Cambridge, MA

Since last post: 374 days
Last activity: 366 days
#4 Posted on | Instant Rating: 6.32
Calculus based answer which I was too lazy to type out myself: http://www.analyzemath.com/calculus/Problems/optimize_area.html

Back when I was a Calc 1 tutor, this type of question was referred to as 'the hump." Once you could get through these types of relationships and work them forwards and backwards, you had very little trouble with anything else in the course. It's one of the most basic application of calculus, but requires a fair bit of work to intuitively understand.



Lloyd: When I met Mary, I got that old fashioned romantic feeling, where I'd do anything to bone her.
Harry: That's a special feeling.
emma
Cherries > Peaches








Since: 1.8.02
From: Phoenix-ish

Since last post: 38 days
Last activity: 3 days
#5 Posted on | Instant Rating: 8.44
Calculus? Really? Let's get a grip here, boys. :-)

The initial problem is stated incorrectly. Where you have "along the newly shorter of the walls", you meant to say "along the now *longer* of the walls.

You started with
12 x 12 = 144

you added 3 feet, along one 12 foot wall, that's 36 additional sqft; hence
144 + 36 = 180 = 12 x 15

then you deducted 3 feet along the now longer wall; that's 3x15 for a 45 sqft deduction; meaning
180 - 45 = 135 = 9 x 15

You added 36 sqft, but then took away 45 sqft.

-----------
If you had built the closet "along the newly shorter of the walls", i.e. the 12 foot wall, then you'd be taking away 36, & would be back to 144 sqft. Or, if you'd built a 3x12 closet along part of the 15 foot wall, you'd be back to 144 sqft.
Guru Zim
SQL Dejection
Administrator








Since: 9.12.01
From: Bay City, OR

Since last post: 1 day
Last activity: 1 day
AIM:  
#6 Posted on | Instant Rating: 9.14
BUT

I'm pretty sure when they measure your house's sq footage they use outside walls and not the sum of all interior rooms minus closets...




Sign up for Folding@Home and join our team. PM me for details.

Ignorance is bliss for you, hell for me.
Thread rated: 7.31
Pages: 1
Thread ahead: What do you do when you totally lost your self-confidence?
Next thread: BK.JP brings the Windows 7 Whopper - with, yes, seven patties
Previous thread: Big Top Cupcake
(231 newer) Next thread | Previous thread
What... in the hell... is wrong with people? I mean, honestly, this is one of the most sickening things I've ever seen.
The W - Random - The weird question threadRegister and log in to post!

The W™ message board

ZimBoard
©2001-2014 Brothers Zim

This old hunk of junk rendered your page in 0.134 seconds.