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Q.

What is the size of a regular hexagon whose sides are each long.

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a

b

c

d

answer is A.

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Detailed Solution

Concept: We should be aware that the perimeter of a polygon is equal to the sum of all of its sides. Additionally, we should be aware that a regular polygon has equal sides on all sides. We are aware that a hexagon is a six-sided polygon. All six sides of a regular hexagon will be equal. Assume that x is equal to the length of a hexagonal side. The length of the hexagon's sides will then be determined to be x m. The perimeter of the hexagon whose side is equal to x must now be determined. Using this equation as an example

. The value of x must now be changed to equal to 8 to find the perimeter of the hexagon.
Before attempting to answer the question, it is important to understand that a polygon's perimeter is equal to the total of all of its sides. Additionally, we should be aware that a regular polygon has equal sides on all sides.
We are aware that a hexagon is a six-sided polygon. All six sides of a regular hexagon will be equal. Assume that x is equal to the length of a hexagonal side. The length of the hexagon's sides will then be determined to be x m.
Question Image

Question Image

Assume that p is equal to the hexagon's perimeter.
It is evident from the diagram up above that
Question Image

Question Image

The perimeter of the hexagon is equal to 6x, as is evident from equation

, if the length of a hexagonal side is equal to x.
The answer was implied by the question, which stated that a hexagon's side length is 8 meters.
The hexagon's perimeter must now be determined.
Therefore, we must change

in equation

.

It is evident from equation

that a regular hexagon with sides that are each 8 meters long has a perimeter of

.
Hence, option 1 is correct.

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