SOLUTION: Jessica wants to tile her kitchen floor using tiles in the shape of a regular pentagon. Will she be able to tile the floor without leaving any gaps? Explain your answer fully.

Algebra ->  Surface-area -> SOLUTION: Jessica wants to tile her kitchen floor using tiles in the shape of a regular pentagon. Will she be able to tile the floor without leaving any gaps? Explain your answer fully.      Log On


   



Question 860211: Jessica wants
to tile her kitchen floor using
tiles in the shape of a regular pentagon.
Will she be able to tile the floor without leaving any gaps?
Explain your answer fully.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
No.
----
A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 3π/5, is not a divisor of 2π.