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ACT Math : How to find the length of the side of a hexagon

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Example Questions

Example Question #41 : Geometry

If the perimeter of a regular hexagon is 112.8 $\displaystyle 112.8$ , what is the length of a side of that regular hexagon?

Possible Answers:

19.6 $\displaystyle 19.6$

19.8 $\displaystyle 19.8$

18.8 $\displaystyle 18.8$

18.6 $\displaystyle 18.6$

Correct answer:

18.8 $\displaystyle 18.8$

Explanation:

Use the formula for perimeter to solve for the length of a side of the regular hexagon:

P=6s $\displaystyle P=6s$

Where $\displaystyle P$ is perimeter and $\displaystyle s$ is the length of a side.

In this case:

$\displaystyle 112.8=6s$

$s=\frac{112.8}{6}=18.8$ $\displaystyle s=\frac{112.8}{6}=18.8$

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Example Question #1 : Hexagons

Find the length of one side for a regular hexon with a perimeter of 85.8 $\displaystyle 85.8$ .

Possible Answers:

15.2 $\displaystyle 15.2$

12.4 $\displaystyle 12.4$

14.3 $\displaystyle 14.3$

13.6 $\displaystyle 13.6$

Correct answer:

14.3 $\displaystyle 14.3$

Explanation:

Use the formula for perimeter to solve for the side length:

P=6s $\displaystyle P=6s$

85.8=6s $\displaystyle 85.8=6s$

s=14.3 $\displaystyle s=14.3$

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Example Question #2 : Hexagons

Find the length of one side for a regular hexagon with a perimeter of 114 $\displaystyle 114$ .

Possible Answers:

$\displaystyle 16$

18.5 $\displaystyle 18.5$

$\displaystyle 19$

$\displaystyle 18$

Correct answer:

$\displaystyle 19$

Explanation:

Use the formula for perimeter to solve for the side length:

P=6s $\displaystyle P=6s$

114=6s $\displaystyle 114=6s$

s=19 $\displaystyle s=19$

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Example Question #3 : Hexagons

What is the maximum length of each side for a regular hexago with a perimeter of $\displaystyle 54$ ?

Possible Answers:

$\displaystyle 9$

9.4 $\displaystyle 9.4$

7.6 $\displaystyle 7.6$

8.8

Correct answer:

$\displaystyle 9$

Explanation:

Use the formula for perimeter to solve for the side length:

P=6s $\displaystyle P=6s$

54=6s $\displaystyle 54=6s$

s=9 $\displaystyle s=9$

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Example Question #2 : How To Find The Length Of The Side Of A Hexagon

What is the side of a Hexagon whose area is $216\sqrt3\textup{ m}^2$ $\displaystyle 216\sqrt3\textup{ m}^2$ ?

Possible Answers:

$s = 12\textup{m}$ $\displaystyle s = 12\textup{m}$

$s = \sqrt{108}\textup{m}$ $\displaystyle s = \sqrt{108}\textup{m}$

$s = 12\textup{m}^2$ $\displaystyle s = 12\textup{m}^2$

$s = 12\sqrt{3}\textup{m}$ $\displaystyle s = 12\sqrt{3}\textup{m}$

$s = \sqrt{72}\textup{m}$ $\displaystyle s = \sqrt{72}\textup{m}$

Correct answer:

$s = 12\textup{m}$ $\displaystyle s = 12\textup{m}$

Explanation:

To find the side of a hexagon given the area, set the area formula equal to the given area and solve for the side.
$216\sqrt{3}=\frac{3}{2}\sqrt{3}*a^2 \newline \newline 432\sqrt3 = 3\sqrt{3}*a^2 \newline \newline 432 = 3*a^2 \newline 144 = a^2 \newline 12 = a$

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ACT Math : How to find the length of the side of a hexagon

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #41 : Geometry

Example Question #1 : Hexagons

Example Question #2 : Hexagons

Example Question #3 : Hexagons

Example Question #2 : How To Find The Length Of The Side Of A Hexagon

All ACT Math Resources

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