NeoPets Riddles (Lenny Conundrums) and Answers Here

After double checking my formulas, and correcting them, I'm pretty sure.

I agree. i'm not that mathimatically great myself. I'm going back to college to get refreshed and I have Algebra class this fall semester. Maybe it will help me. I have been out of school for 5 years now.

2200621 -
geesh now is the time I really wish I understood this kind of math

oh i'm still in highschool and this is the stuff we've been doing since middle school.. just its summer break and i havnt looked at a calculator since june.. lol i dont remember much until i go back and look over nots which i just recently threw out.. -_-'

The problem I have with owlette's formula is deriving the perimeter length from the areas. the length of a side of a square is the square root of the area, an I don't see that happening with the ratios he uses.

Ok I'm going with 411258 for my answer then. You seem to have been here longer discussing it and knows what you are doing.

Reposting the latest version of the spreadsheet:

Column A (titles): Square, Triangle, Circle, (totals)

Column B (areas): 183753.5, =B1/1.75, =B1/1.5, =Sum(B1:B3)

Column C (side length): =SQRT(B1), =SQRT(B2/SIN(RADIANS(60))), =2*PI()*SQRT(B3/PI())

Column D (Fence length): =4*C1, = 3*C2, =2*PI()*SQRT(B3/PI()), =SUM(C1:C3)

the only formula I want to triple check is the Fence length for a triangle... I'm 100% sure of all the others...

Rechecking:

Area of Equilatoral triangle = L * L/2 (where L is the Length of 1 side)

Divide that triangle in half:

Make a triangle with Hypotenuse of L, short side of L/2, and angle of 60 degrees

Sine (60 degrees) = Opposite / Hypotenuse

So X (opposite side) = L * sine(60)

area of this half/triangle = L/2 * X
or area of half-triangle = L/2 * L * sine(60)
or area of half triangle = L * L * sine(60) / 2

solving for L
L = SQRT(2 * area of half triangle)/ sine 60)

and putting that in formula terms:
=SQRT(2*B2/SIN(RADIANS(60)))

Okay - I'm sure that's correct again.

The above spreadsheet should work. New numebrs:

Okay, using a total Square area of 149630.61535

The fence length comes out to 4000

and a total area of 334887.5677

That's my final answer

Well, round it up of course

oh well i submitted my answer already. I'll have to wait and see what the real answer is next week. Let us all know who won with what answer please. Thanks. Night everyone it's 1:08 a.m. here in Michigan.

its 1:11am in new york but now i really wanna know what the right answer is.. = /

Lol - whoopsy - area of of half triangle = B3/2

so make that formula =SQRT(B2/SIN(RADIANS(60)))

(Had to divide B2 by 2, which cancels out the 2 * b2.)

Area of square = 182642.534


New total area: 411212.7227

411213

And that's my final final answer SHould be a nice scattering of answer from folks too lazy to check out there...

try this
x squared is A of square
A of triangle is .25 A
A of circle is .5 A

all 3 areas combined are 1.75 A

Assuming ratio is same for perimiter as area:


1.75 P (where P is p of square) = 4000

solve for P (of square)

P= 4x

solve for x

x squared is A (of square)

all 3 areas combined are 1.75 A

solve and get 571428.5 and round up

I came up with this equation (sry for my spelling, I'm from Venezuela and speak Spanish =D)

(Triangle x 0.75) + Triangle = (Circle x 0.50) + Circle = Square

That way u only have to find 1 field area and u got em all finished...

Now I'm going to explain myself here...

"(Triangle x 0.75) + Triangle" Here I added the 75% of the Triangle to the Total area of the triangle, because in the riddle says "The square field is 75% larger in area than the triangular field"

I did the same with the circle... now I Have to figure out how to get one of the areas I'll write again soon

And shame on all you who took the "final" answer I posted above without doing the formulas yourself.



Because it's off!
I had calculated the area of the Triangle using 1.71 instead of 1.75

If you want the real answer, plug the formulas as described above, and quit looking for a simple answer

marty had it correct earlier. The answer is 334887.5677 (you'll need to round)

square side = 386.8211671
square area = 149630.6154
triangle side = 444.366068
triangle area = 85503.20877
circle radius = 178.1926002
circle area = 99753.74357

shame
shame on you for posting all those wrong answers

Shame on you for not correcting wrong formulas

Correct formula for a triangle's side from the area is actually:

=SQRT(2*B2/SIN(RADIANS(60)))

Which gives yet another answer.

hi marty, eliz, bizarre, purplemonkey, and all the rest of the regular gang and newbies also .... Bet I stumped ya's with a different user name. well that because I am having some trouble with mine, and well quite honestly... I dont care at the moment.
I am disappointed with how someone acted here with deliberately posting wrong information to mislead others. This I thought was a place to help popple out.... not deliberately give misleading information so they submit the wrong answer... this isn't the first time this has happened either.... I am just glad that I only come here to help others, 99% of the time, because my stepdad is a math professor at the university...so when I do get stumped he helps me out. I have not missed a mystery pic or a lenny for the past 2 years since I started playing.... sad that others cant help everyone else who may need help instead of having a burr up their butt.... If this message get posted.... anyone who looks at this board, please dent judge the rest of us by the way one or two people act. And please remember this is only a game on neopets.... you lost nothing if you submitted the wrong answer. Hopefully later today I can log in with my original account and if not, as long as I didn't get banned, I will be back in later. Have fun everyone Now....Mzthing is stepping down from her soap box!