Polygons: Areas Homework Help & Hints

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The discussion revolves around confusion regarding the notation used in a geometry problem related to polygons and areas. The user seeks clarification on the meaning of square brackets, which denote the area of a shape rather than an angle measurement. They express difficulty in solving the problem, particularly with the relationships given, such as the ratios of segments and the area of specific triangles. The conversation highlights the importance of understanding notation and relationships in geometry to solve area problems effectively. Clear explanations and hints are requested to aid in comprehension and problem-solving.
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Homework Statement



(I have attached the problem to this post as a file)

Homework Equations



In class we learned other fomulas for the area of a triangle using the SAS case, ASA and SSS (Heron's).

The Attempt at a Solution



I am honestly so confused with this one. I have a bunch of random facts that are basically given in the question like [AFB]/[FEB] = AF/FE = 1. That CD/DE = 1/4. But I can't even solve (a). Any help or hints would be really appreciated.
 

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I've never seen the square bracket notation before, but I'm guessing that [ABC] would mean the angle at B subtended by the lines AB and BC?

So when the question says that [BDG] = 2, it's 2 what? 2 degrees?
 
Mentallic said:
I've never seen the square bracket notation before, but I'm guessing that [ABC] would mean the angle at B subtended by the lines AB and BC?

So when the question says that [BDG] = 2, it's 2 what? 2 degrees?

Oh sorry! I didn't know if that was standard notation or not... It just means the area of that shape :)
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
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