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NeoPets Riddles (Lenny Conundrums) and Answers Here

 
 
bristleconeone
 
  1  
Reply Wed 5 Dec, 2007 05:59 pm
Quote:
I found this gem...

If we know the length of each side of a pentagon, then the area of the pentagon is:

A = (1/4)a^2 * sqrt[25 + 10 * sqrt(5)]

where 'a' is the side length.

We can find the side length using the Law of Cosines.


Well done
0 Replies
 
friendsforever
 
  1  
Reply Wed 5 Dec, 2007 05:59 pm
The distance from the center of a pentagon to one of it vertices is called the circumradius (R).

The distance from the center of a pentagon to the midpoint of one of its sides is called the inradius (r).


R = circumradius

r = inradius

A = area

a = side length

Memorize the following formulas:

R = (1/10)a * sqrt[50 + 10 * sqrt(5)]

r = (1/10)a * sqrt[25 + 10 * sqrt(5)]

A = (1/4)a^2 * sqrt[25 + 10 * sqrt(5)]


How do we find the length of a side from the area....that's the hard part...
0 Replies
 
imacarl123
 
  1  
Reply Wed 5 Dec, 2007 06:01 pm
beccaa wrote:
my friend got 681


hod he get that
0 Replies
 
HotHeather
 
  1  
Reply Wed 5 Dec, 2007 06:01 pm
beccaa wrote:
my friend got 681


your friend didn't round up. it's 682
0 Replies
 
oooohtone
 
  1  
Reply Wed 5 Dec, 2007 06:04 pm
So are we going with 682?
0 Replies
 
beccaa
 
  1  
Reply Wed 5 Dec, 2007 06:05 pm
no its 681
the decimal after the 1 is LOWER than .5 so you do not round up
0 Replies
 
nooneatall
 
  1  
Reply Wed 5 Dec, 2007 06:05 pm
i come up with 682
0 Replies
 
oooohtone
 
  1  
Reply Wed 5 Dec, 2007 06:05 pm
What does it come to WITHOUT the rounding?
0 Replies
 
HotHeather
 
  1  
Reply Wed 5 Dec, 2007 06:06 pm
beccaa wrote:
no its 681
the decimal after the 1 is LOWER than .5 so you do not round up


no, it's not. it's 681.7. Round up to 682
0 Replies
 
beccaa
 
  1  
Reply Wed 5 Dec, 2007 06:06 pm
HotHeather wrote:
beccaa wrote:
no its 681
the decimal after the 1 is LOWER than .5 so you do not round up


no, it's not. it's 681.7. Round up to 682


no its 681.4.

you must have rounded at another step
0 Replies
 
mandibell
 
  1  
Reply Wed 5 Dec, 2007 06:07 pm
but it SAYS to round up.
0 Replies
 
HotHeather
 
  1  
Reply Wed 5 Dec, 2007 06:07 pm
beccaa wrote:
HotHeather wrote:
beccaa wrote:
no its 681
the decimal after the 1 is LOWER than .5 so you do not round up


no, it's not. it's 681.7. Round up to 682


no its 681.4.

you must have rounded at another step


you're wrong. I'm going to take a bath
0 Replies
 
oooohtone
 
  1  
Reply Wed 5 Dec, 2007 06:08 pm
*so confused*
0 Replies
 
HotHeather
 
  1  
Reply Wed 5 Dec, 2007 06:09 pm
oooohtone wrote:
*so confused*


a bath .. it's when you get naked and wash your body
0 Replies
 
mandibell
 
  1  
Reply Wed 5 Dec, 2007 06:09 pm
its says to round up to the nearest whole number, not round up if applicable....
0 Replies
 
ciarawhitehorn
 
  1  
Reply Wed 5 Dec, 2007 06:10 pm
I don't think the PROPER way to round matters. From the puzzle page:

"What is the area of the green part, in square centimetres? Please round up to the nearest whole number, and submit only the answer."
0 Replies
 
oooohtone
 
  1  
Reply Wed 5 Dec, 2007 06:12 pm
I put 682, hope that's right.
0 Replies
 
stormygoddess
 
  1  
Reply Wed 5 Dec, 2007 06:17 pm
I've got side length of the pentagon as 21.5665 cm.
And the angles of a pentagon are all 108... so the angle of the triangle is 82 degrees.

From here.. it's trig.. and I don't know what to do. Anyone else?
0 Replies
 
deviles
 
  1  
Reply Wed 5 Dec, 2007 06:18 pm
thnx!!!I ut 682(I'm not good at the math ones...)
0 Replies
 
nooneatall
 
  1  
Reply Wed 5 Dec, 2007 06:23 pm
i triple check and i got 682 all 3 times so itis 682
0 Replies
 
 

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