We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to find the perimeter of a hexagon

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : Plane Geometry

Hexcenter431

The figure above is a regular hexagon. is the center of the figure. The line drawn is perpendicular to the side.

What is the perimeter of the figure above?

Possible Answers:

$4\sqrt{3}$

$48\sqrt{3}$

Correct answer:

Explanation:

You can redraw the figure given to notice the little equilateral triangle that is formed within the hexagon. Since a hexagon can have the 360 degrees of its internal rotation divided up evenly, the central angle is degrees. The two angles formed with the sides also are degrees. Thus, you could draw:

Hexcenter432

Now, the $4\sqrt{3}$ is located on the side that is the same as $\sqrt{3}$ on your standard 30-60-90 triangle. The base of the little triangle formed here is on the standard triangle. Let's call our unknown value .

We know, then, that:

$\frac{4\sqrt{3}}{\sqrt{3}}=\frac{x}{1}$

Or, x=4

Now, this is only half of the size of the hexagon's side. Therefore, the full side length is 4*2=8 .

Since this is a regular hexagon, all of the sides are of equal length. This means that your total perimeter is 8*6 or .

Report an Error

Example Question #1 : Hexagons

What is the perimeter of a regular hexagon with an area of $315.375\sqrt{3}\:units^2$ ?

Possible Answers:

$157.6875\:units$

$87\:units$

$157.6875\sqrt{3}\:units$

$92\:units$

$78\sqrt{3}\:units$

Correct answer:

$87\:units$

Explanation:

The area of a regular hexagon is defined by the equation:

$\frac{3\sqrt{3}}{2} * s^2$ , where is the length of a side.

This is derived from the fact that the regular hexagon can be split up into little equilateral triangles, each having an area of

$\frac{\sqrt{3}}{4}*s^2$

To visualize this, consider the drawing:

Hexagontriangle

Each triangle formed like this will be equilateral. It is easiest to remember this relationship and memorize the general area equation for equilateral triangles. (It is useful in many venues!)

So, for your data, you know:

$315.375\sqrt{3}=\frac{3\sqrt{3}}{2} * s^2$

Solving for , you get:

s^2 = 210.25

This means that s=14.5

Therefore, the perimeter of the figure is equal to 6*s or $87\:units$ .

Report an Error

Example Question #1 : How To Find The Perimeter Of A Hexagon

Find the perimeter of a hexagon with a side length of .

Possible Answers:

Correct answer:

Explanation:

There are 6 sides in a hexagon.

Therefore, given a side length of 16, the perimeter is:

$P=6s=6 \cdot 16=96$

Report an Error

Example Question #2 : Hexagons

The side length of a hexagon is $\frac{x}{3}$ . What is the perimeter?

Possible Answers:

x+6

$\frac{x+6}{6}$

$\frac{6x+6}{3}$

$\frac{x+6}{3}$

Correct answer:

Explanation:

Write the formula for the perimeter of a hexagon.

P=6s

Substitute the given length.

$P=6s = 6\left(\frac{x}{3}\right)=2x$

Report an Error

View ACT Math Tutors

Ayan
Certified Tutor

Vellore Institute of Technology, Bachelor, Chemical Engineering. University of Calgary, Master's/Graduate, Chemical and Petro...

View ACT Math Tutors

Omar
Certified Tutor

Arizona State University, Bachelors, Civil Engineering.

View ACT Math Tutors

Bhupinder
Certified Tutor

Panjab University, Bachelor of Engineering, Biotechnology. Hamburg University of Technology, Master of Science, Chemical Engi...

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

GRE Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Houston, ISEE Courses & Classes in Denver, Spanish Courses & Classes in Miami, ACT Courses & Classes in Phoenix, Spanish Courses & Classes in Philadelphia, GMAT Courses & Classes in Miami, MCAT Courses & Classes in Los Angeles, SSAT Courses & Classes in New York City

Popular Test Prep

GRE Test Prep in San Francisco-Bay Area, SAT Test Prep in Seattle, GRE Test Prep in Dallas Fort Worth, GRE Test Prep in Los Angeles, ACT Test Prep in Dallas Fort Worth, SAT Test Prep in Chicago, MCAT Test Prep in Boston, ISEE Test Prep in San Diego, ACT Test Prep in Philadelphia, SSAT Test Prep in Philadelphia

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ACT Math : How to find the perimeter of a hexagon

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #31 : Plane Geometry

Example Question #1 : Hexagons

Example Question #1 : How To Find The Perimeter Of A Hexagon

Example Question #2 : Hexagons

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: