A pentagon is connected with a hexagon such that their one side is common. What is the resulting polygon formed by the mentioned combination, considering the outer boundary of the combination?

Nanogon

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Decagon

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Hendecagon

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Dodecagon

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Solution

The correct option is B Decagon
A pentagon is connected with a hexagon such that their one side is common. The following figure depicts it:

Here, $A B C D I$ is a pentagon, connected with the hexagon $D E F G H I .$
The common side is $D I .$

The outer boundary of the combined figure is $A B C D E F G H I .$

Number of sides $= (5 + 6) - 1 = 10$
Hence, it is a decagon.

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