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Intermediate Geometry : How to find the perimeter of a hexagon

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #11 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{12}{2}=6$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(6)=36$

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Example Question #12 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{10}{2}=5$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(5)=30$

Report an Error

Example Question #13 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{8}{2}=4$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(4)=24$

Report an Error

Example Question #14 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{6}{2}=3$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(3)=18$

Report an Error

Example Question #15 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{4}{2}=2$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(2)=12$

Report an Error

Example Question #16 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{2}{2}=1$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(1)=6$

Report an Error

Example Question #17 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{1}{2}$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(\frac{1}{2})=3$

Report an Error

Example Question #18 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

120

180

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{20}{2}=10$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(10)=60$

Report an Error

Example Question #19 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{16}{2}=8$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(8)=48$

Report an Error

Example Question #20 : Hexagons

Find the perimeter of the regular hexagon.

Possible Answers:

Correct answer:

Explanation:

When all the opposite sides of a regular hexagon are connected, you should notice that six congruent equilateral triangles are created:

Thus, the diagonal of the hexagon is twice the length of a side.

$\text{Diagonal}=2(\text{side})$

$\text{Side}=\frac{\text{Diagonal}}{2}$

Plug in the given diagonal to find the length of a side.

$\text{Side}=\frac{24}{2}=12$

Now, recall how to find the perimeter of a regular hexagon:

$\text{Perimeter}=6(\text{side})$

Plug in the side length to find the perimeter.

$\text{Perimeter}=6(12)=72$

Report an Error

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Intermediate Geometry : How to find the perimeter of a hexagon

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #11 : Hexagons

Example Question #12 : Hexagons

Example Question #13 : Hexagons

Example Question #14 : Hexagons

Example Question #15 : Hexagons

Example Question #16 : Hexagons

Example Question #17 : Hexagons

Example Question #18 : Hexagons

Example Question #19 : Hexagons

Example Question #20 : Hexagons

All Intermediate Geometry Resources

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