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.

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.Com

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) (Show Source): You can put this solution on YOUR website!
No.
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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.
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