Odd survey..

**snakeeyes1000** · Jul 6th, 2002, 12:04 PM

This is a simple survey. I am trying to see which language most mathematical individuals prefer. Simply find the answer, and once you're sure, post your name,your language of choice, and the answer you arrived at. If you are thinking of copying someone's answer, remeber, it might not be right. And every wrong answer s a -1 for that language. The question is:

Theis figure has a total area of 108 square units and is a rectangle composed of three congruent, smaller rectangles. Find the sum of the length and width of one of the smaller rectangles. Express your answer in simplest radical form.

--Rectangle #1--
_____|____________
|aaaaaaaaaa|aaaaaa|
|aaaaaaaaaa|aaaaaa|
|__________|aaaaaa|-Rectangle #2
|aaaaaaaaaa|aaaaaa|
|aaaaaaaaaa|aaaaaa|
|aaaaaaaaaa|aaaaaa|
--------|-------
Rectangle #3

**snakeeyes1000** · Jul 6th, 2002, 12:45 PM

By the way, the language with the most points will of course gain bragging rights. If you don't know the answer, and want your language to win, you don't have to post. Good luck. By the way, I have the correct answer and my favorite language is C++.

**snakeeyes1000** · Jul 6th, 2002, 03:29 PM

Well, does anyone have an idea? Surely you, who talk about dividing by 0, infinity, imaginary numbers, can tell me how big one of those squares is? I enjoy this.

**markman** · Jul 7th, 2002, 12:23 PM

13 * sqrt(3)

dont have a favorite, i use vb more but Im trying to be as proficient in c++, so go with c++ for me

**SteveCRM** · Jul 7th, 2002, 12:27 PM

9*sqrt(2)

is use C++ all the time

**snakeeyes1000** · Jul 7th, 2002, 12:30 PM

well, if you don't count my vote, there is a tie between all languages now, as one of you got it and the other didn't. that's all I'm saying now.

**markman** · Jul 7th, 2002, 12:35 PM

but we both voted for c++

**markman** · Jul 7th, 2002, 12:35 PM

Originally posted by snakeeyes1000
well, if you don't count my vote, there is a tie between all languages now, as one of you got it and the other didn't. that's all I'm saying now.

its probably me that didnt get it

**Gandalf_Grey_** · Jul 7th, 2002, 05:32 PM

oh i just realised people were posting thier answers in this thread in that case i got the same answer as stevecrm. I was posting my answer in the other thread. How are the stats now?

**snakeeyes1000** · Jul 7th, 2002, 05:40 PM

you posted one incorrect answer, and are thus disqualified.

**parksie** · Jul 7th, 2002, 05:57 PM

I didn't bother working out the puzzle, but I say C++

**snakeeyes1000** · Jul 7th, 2002, 05:59 PM

this is a test to see which language gets the most correct answers. Answer it if you want your opinion to matter here.

**parksie** · Jul 7th, 2002, 06:02 PM

It just passed midnight and I haven't done any maths for over a year now

I tend to go in for problem solving skills now

Aerials · Jul 7th, 2002, 08:45 PM

ok this is dumb but...
rectangle 1=20a

i like C++ even though i suck at it

**snakeeyes1000** · Jul 7th, 2002, 09:31 PM

alright this is a sad day. C++ is the loser with a score of -1.(sorry Gandolf you were disqualified). The answer was 9*sqr(2)

**SteveCRM** · Jul 7th, 2002, 09:47 PM

what did C++ lose to? hehe it won with -1 lol

woo I was right

**snakeeyes1000** · Jul 7th, 2002, 10:05 PM

all languages started with 0 points.

**Gandalf_Grey_** · Jul 7th, 2002, 10:09 PM

arghh the only reason i was disqualified was because i failed to simplify 108 / sqrt(72) down to 9 * sqrt(2). Then i thought i made a mistake, went back again and got 9 * sqrt(2) the second time. Perhaps i should get part marks?

**Guv** · Jul 7th, 2002, 10:51 PM

My favorite language is Algol.

Length = 6*Sqr(2)
Width = 3*Sqr(2)
Sum = 9*Sqr(2)

**markman** · Jul 8th, 2002, 08:59 PM

I did it a different way and came out with a different answer which checks: 13 * sqrt(3)

**snakeeyes1000** · Jul 8th, 2002, 09:05 PM

I'm sorry, there is now way alive what you have can be right. Think about it. Thirteen is not possible, becuase that value has to be evenly divisble by 3 for the diagram to be correct.

**NotLKH** · Jul 8th, 2002, 09:08 PM

Q:?
What language returns sqrt(2), instead of a decimal value for said mathematical concept?

How did you program your progie to return 9*sqrt(2), instead of
something like 12.727922yadayadayada???

-Just Wondering
-Lou

**markman** · Jul 8th, 2002, 09:13 PM

look through what i did. do you see a problem? does the solution check?

**bugzpodder** · Jul 8th, 2002, 09:23 PM

9*root(2)

I am going to waste my vote on Turing just b/c my school use it. (btw it sux). its a language that has similar coding structures to that of Pascal. its slow. it is an educational laugage thats designed to teach u concepts and is used across Ontario Canada.

**NotLKH** · Jul 8th, 2002, 09:52 PM

Originally posted by markman
look through what i did. do you see a problem? does the solution check?

Hmmm. Well, I'm puzzled by one thing.
With your usage of x and y, the right rect has a width of x, and an apparant height of 2x, while the two left rects have a height of x and a width of y.
From the stated problem, how do you know that?

-Lou

**markman** · Jul 8th, 2002, 09:54 PM

since all the rects are congruent, i made x = one side and y = the other side.

**snakeeyes1000** · Jul 8th, 2002, 09:59 PM

MARKAMN:
when the two are multiplied together, it must give you 36.

sqrt(3)*12*sqrt(3)=108. That's the area of the large rectangle, and 3x the smaller ones.

**NotLKH** · Jul 8th, 2002, 10:00 PM

AAAhhhh, Gotcha. But then:
3xy = 108

so

xy = 36

Now, y = 2x, so…
2x^2 = 36
so
x^2 = 18
therefore
x = sqrt(18) or…
3*sqrt(2)

Right???

**markman** · Jul 8th, 2002, 10:01 PM

Originally posted by snakeeyes1000
MARKAMN:
sqrt(3)*12*sqrt(3)=108

sqrt(3)*12*sqrt(3)=36

proof:
sqrt(3)*sqrt(3) = 3
and 12*3 = 36

**markman** · Jul 8th, 2002, 10:03 PM

Originally posted by NotLKH
AAAhhhh, Gotcha. But then:
3xy = 108

so

xy = 36

Now, y = 2x, so…
2x^2 = 36
so
x^2 = 18
therefore
x = sqrt(18) or…
3*sqrt(2)

Right???

Right. But, if you were to take the 2 sides of the rect found by everyone else's way, and plug them into my equasion, they wouldnt work either. Im still wondering: is there a problem with the way I did it? cause if not, there are multiple solutions

**NotLKH** · Jul 8th, 2002, 10:06 PM

BTW,

You say (xx)*(xy) = 108, BUT....
Shouldn't that be:
(x+x)*(x+y) = 108
???

**markman** · Jul 9th, 2002, 08:29 AM

i think you got me there

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