SOLUTION: Regular hexagon ABCDEF is inscribed in rectangle PQRS. If [AFP] = 20 and [ABC] = 25, then find [ABCDEF].

Question 1209323: Regular hexagon ABCDEF is inscribed in rectangle PQRS. If [AFP] = 20 and [ABC] = 25, then find [ABCDEF].
Answer by mccravyedwin(406) (Show Source): You can put this solution on YOUR website!

Something's wrong! All the right triangles shown in the figure below are
congruent because they are all 30-60-90 right triangles, and each has a
hypotenuse which is a side of the regular hexagon. If you are using
brackets to denote AREA, then you must either have

[AFP] = 20 and [ABC] = 40 

or

[AFP] = 12.5 and [ABC] = 25
  
but not

[AFP] = 20 and [ABC] = 25



Edwin

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