## Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-) |

# Polygons

### #1

Posted 22 May 2014 - 11:22 PM

Let's define BMAD polygons as polygons where the perimeter and area values are identical. Does there exist two such polygons (p1, p2) where the number of sides of p1 > the number of sides of p2 but the perimeters are identical?

**Edited by BMAD, 22 May 2014 - 11:23 PM.**

### #2

Posted 23 May 2014 - 01:56 AM

*Vidi vici veni.*

### #3

Posted 23 May 2014 - 03:03 AM

### #4

Posted 23 May 2014 - 03:22 AM

Regular?

no not necessarily.

### #5

Posted 23 May 2014 - 03:23 AM

Spoiler for if

wouldn't the area be infinitesimally off

### #6

Posted 23 May 2014 - 04:05 AM

For example:

BMAD Quadrilateral

Perimeter = 4 units

Area = 4 units^2

(assuming the above is possible)

Could I find a BMAD Triangle where

Perimeter = 4 units

Area = 4 units^2

assuming the same size unit in both cases

**Edited by BMAD, 23 May 2014 - 04:10 AM.**

### #7

Posted 23 May 2014 - 09:19 AM Best Answer

### #8

Posted 23 May 2014 - 01:26 PM

Does this hold for shapes with sides > 3? >4?

### #9

Posted 23 May 2014 - 10:51 PM

Spoiler for if

wouldn't the area be infinitesimally off

yup, sowwee

### #10

Posted 23 May 2014 - 11:32 PM

nice.

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users