Weird Looking Plot

Geometry Level 2

I just bought an orange-colored house surrounded by green grass in a piece of regular hexagonal land, as illustrated in the diagram above. Which one occupies more of the hexagonal land, my house or the grass?

My house The grass They both occupy the same area

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3 solutions

Ahmad Saad
Jul 25, 2016

Mahdi Raza
May 24, 2020

The grass patches can be rearranged inside the house. Thus the areas are equal!

Your animation is pretty nice!

Vinayak Srivastava - 1 year ago

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Thank you!!

Mahdi Raza - 1 year ago

Each orange area corresponds to each green area Each orange area corresponds to each green area

Hence our answer is They both occupy the same area .

Nice way of intersecting, look my animation for a different way!

Mahdi Raza - 1 year ago

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