We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Areas and Perimeters of Polygons

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Areas And Perimeters Of Polygons

A regular hexagon has perimeter 9 meters. Give the length of one side in millimeters.

Possible Answers:

$1,200\textrm{ mm }$

$1,800\textrm{ mm }$

$2,000\textrm{ mm }$

$1,500 \textrm{ mm }$

$2,400 \textrm{ mm }$

Correct answer:

$1,500 \textrm{ mm }$

Explanation:

One meter is equal to 1,000 millimeters, so the perimeter of 9 meters can be expressed as:

9 meters = $9 \times 1,000 = 9,000$ millimeters.

Since the six sides of a regular hexagon are congruent, divide by 6:

$9,000 \div 6 = 1,500$ millimeters.

Report an Error

Example Question #1 : Areas And Perimeters Of Polygons

A hexagon with perimeter 60 has four congruent sides of length t+1 . Its other two sides are congruent to each other. Give the length of each of those other sides in terms of .

Possible Answers:

28-2t

28-t

28+2t

56+2t

56-2t

Correct answer:

28-2t

Explanation:

The perimeter of a polygon is the sum of the lengths of its sides. Let:

Length of one of those other two sides

Now we can set up an equation and solve it for in terms of :

2x+4(t+1)=60

$\Rightarrow 2x+4t+4=60$

$\Rightarrow 2x=60-4-4t$

$\Rightarrow 2x=56-4t$

$\Rightarrow x=28-2t$

Report an Error

Example Question #2 : Areas And Perimeters Of Polygons

Two sides of a hexagon have a length of , two other sides have the length of t-1 , and the rest of the sides have the length of t+1 . Give the perimeter of the hexagon.

Possible Answers:

6t-6

8t+8

6t+6

Correct answer:

Explanation:

The perimeter of a polygon is the sum of the lengths of its sides. So we can write:

$Perimeter=2\left [ t+(t+1)+(t-1) \right ]=2(3t)=6t$

Report an Error

Example Question #4 : Areas And Perimeters Of Polygons

A regular hexagon has perimeter 15 feet. Give the length of one side in inches.

Possible Answers:

Correct answer:

Explanation:

As the six sides of a regular hexagon are congruent, we can write:

$Perimeter=6a=15\Rightarrow a=2.5$ feet; is the length of each side.

One feet is equal to 12 inches, so we can write:

$a=2.5\times 12=30$ inches

Report an Error

Example Question #3 : Areas And Perimeters Of Polygons

Each interior angle of a hexagon is 120 degrees and the perimeter of the hexagon is 120 inches. Find the length of each side of the hexagon.

Possible Answers:

$60\ inches$

$25\ inches$

$10\ inches$

$30\ inches$

$20\ inches$

Correct answer:

$20\ inches$

Explanation:

Since each interior angle of a hexagon is 120 degrees, we have a regular hexagon with identical side lengths. And we know that the perimeter of a polygon is the sum of the lengths of its sides. So we can write:

$Perimeter=6a=120\Rightarrow a=20$ inches

Report an Error

Example Question #2 : Perimeter Of Polygons

A hexagon with perimeter of 48 has three congruent sides of 2t+3 . Its other three sides are congruent to each other with the length of 2t-7 . Find .

Possible Answers:

Correct answer:

Explanation:

The perimeter of a polygon is the sum of the lengths of its sides. Since three sides are congruent with the length of 2t+3 and the rest of the sides have the length of 2t-7 we can write:

Perimeter=3(2t+3)+3(2t-7)=48

Now we should solve the equation for :

$6t+9+6t-21=48\Rightarrow 12t-12=48\Rightarrow 12t=60\Rightarrow t=5$

Report an Error

Example Question #6 : Areas And Perimeters Of Polygons

A regular pentagon has sidelength one foot; a regular hexagon has sidelength ten inches. The perimeter of a regular octagon is the sum of the perimeters of the pentagon and the hexagon. What is the measure of one side of the octagon?

Possible Answers:

$15 \textrm{ in }$

$10 \textrm{ in }$

$16 \textrm{ in }$

$18 \textrm{ in }$

$12 \textrm{ in }$

Correct answer:

$15 \textrm{ in }$

Explanation:

A regular polygon has all of its sides the same length. The pentagon has perimeter $5 \times 12 \textrm{ in } = 60 \textrm{ in }$ ; the hexagon has perimeter $6 \times 10 \textrm{ in } = 60 \textrm{ in }$ . The sum of the perimeters is $60 \textrm{ in } + 60 \textrm{ in }= 120 \textrm{ in }$ , which is the perimeter of the octagon; each side of the octagon has length $120 \textrm{ in } \div 8 = 15 \textrm{ in }$ .

Report an Error

Example Question #7 : How To Find The Perimeter Of A Hexagon

Find the perimeter of a hexagon with a side length of 6a+b .

Possible Answers:

36a+b

36a+6b

36a+36b

12a+6b

6a+6b

Correct answer:

36a+6b

Explanation:

A hexagon has six sides. The perimeter of a hexagon is:

P=6s

Substitute the side length.

P=6s=6(6a+b)=36a+6b

Report an Error

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

Find the area of a regular hexagon that has side lengths of .

Possible Answers:

$36\sqrt3$

$48\sqrt3$

$54\sqrt3$

Correct answer:

$54\sqrt3$

Explanation:

Use the following formula to find the area of a regular hexagon:

$\text{Area}=\frac{3\sqrt3}{2}\times \text{side}^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}=\frac{3\sqrt3}{2}\times6^2$

$\text{Area}=\frac{3\sqrt3}{2}\times 36$

$\text{Area}=\frac{108\sqrt3}{2}=54\sqrt3$

Report an Error

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

Find the area of a regular hexagon that has a side length of .

Possible Answers:

192

$48\sqrt3$

$192\sqrt3$

$96\sqrt3$

Correct answer:

$96\sqrt3$

Explanation:

Use the following formula to find the area of a regular hexagon:

$\text{Area}=\frac{3\sqrt3}{2}\times \text{side}^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}=\frac{3\sqrt3}{2}\times 8^2$

$\text{Area}=\frac{3\sqrt3}{2}\times 64$

$\text{Area}=\frac{192\sqrt3}{2}=96\sqrt3$

Report an Error

View SSAT- Upper Level Tutors

Christie
Certified Tutor

Elizabeth City State University, Bachelor of Education, Education. Gardner-Webb University, Masters in Education, Educational...

View SSAT- Upper Level Tutors

Keith
Certified Tutor

Xavier University, Bachelor in Business Administration, Accounting. Ohio University-Main Campus, Masters in Education, Mathem...

View SSAT- Upper Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Dallas Fort Worth, Chemistry Tutors in New York City, ISEE Tutors in New York City, Reading Tutors in San Francisco-Bay Area, Algebra Tutors in New York City, Computer Science Tutors in Miami, Calculus Tutors in Boston, Chemistry Tutors in San Diego, GRE Tutors in Washington DC, Algebra Tutors in Boston

Popular Courses & Classes

SSAT Courses & Classes in Chicago, ACT Courses & Classes in New York City, ISEE Courses & Classes in New York City, SAT Courses & Classes in Miami, GMAT Courses & Classes in Atlanta, GRE Courses & Classes in Denver, GRE Courses & Classes in Philadelphia, Spanish Courses & Classes in Boston, GMAT Courses & Classes in Washington DC, GRE Courses & Classes in Dallas Fort Worth

Popular Test Prep

SAT Test Prep in Denver, SSAT Test Prep in Seattle, ACT Test Prep in Houston, SSAT Test Prep in Los Angeles, GRE Test Prep in Washington DC, GRE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Denver, GRE Test Prep in New York City, SAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Washington DC

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

SSAT Upper Level Math : Areas and Perimeters of Polygons

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : Areas And Perimeters Of Polygons

Example Question #1 : Areas And Perimeters Of Polygons

Example Question #2 : Areas And Perimeters Of Polygons

Example Question #4 : Areas And Perimeters Of Polygons

Example Question #3 : Areas And Perimeters Of Polygons

Example Question #2 : Perimeter Of Polygons

Example Question #6 : Areas And Perimeters Of Polygons

Example Question #7 : How To Find The Perimeter Of A Hexagon

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

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

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: