**Sum of Infinite Area**

*A regular hexagon has a side 6 cm. A smaller hexagon was drawn by connecting the midpoints of the side of the larger hexagon. The process is repeated continuously. What is the sum of their areas?*

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Correct answer were submitted by:

1. John Rey Jimenez. Negros Occidental High School

2. Arsh Singh. yourmathguru.com

3. Jomari Tan. DLSU

4. Marlon Chris Malicsi. UST

5. JM Maninang. UST

6. Jhay Dela Cruz. PUP -Taguig

7. Nabeel Kabeer Leo XIII (school/affiliation please)

8. Muthu Krishna. Kle college , Bengaluru

9. Fo Chik Yong. (school/affiliation please)

10. Shamik Banerjee. Kendriya Vidyalaya Cossipore

11. Russelle Guadalupe. UP Diliman

12. Carlo Jay Vizcarra. Pamantasan ng Lungsod ng Maynila

(648√2)/11

108√2 cm^2

John Michael Maninang

UST

162 sqrt (3)

Oppps. Try again. :)) 81 sqrt(3)

72 sqrt(3)?

Last try. :)) 216 sqrt(3)

216sq.root of 3

PUP -Taguig

374.1229744348773 cm^2

216*sqrt(3) = 374.1229744 square cm

216*sqrt(3) = 374.1229744 square cm

Kendriya Vidyalaya Cossipore

54sqrt(3)

216sqrt(3) – PLM

No more comments. Next problem will be publish tonight.

the correct answer is $latex 216\sqrt{3} cm^2$

Solution will be presented later.