Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Geometry

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 #1 : Pentagons

Find the length of one side for a regular pentagon with a perimeter of 115 .

Possible Answers:

Correct answer:

Explanation:

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

P=5s

115=5s

s=23

Report an Error

Example Question #2 : Pentagons

Find the length of each side for a regular pentagon with a perimeter of 14{,}000 .

Possible Answers:

2{,}800

2{,}600

2{,}480

2{,}900

Correct answer:

2{,}800

Explanation:

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

P=5s

14,000=5s

s=2,800

Report an Error

Example Question #1 : How To Find The Length Of The Diagonal Of A Pentagon

If the side of a pentagon is , what is the diagonal of the pentagon?

Possible Answers:

$\frac{1+\sqrt5}{4}$

$1+\sqrt5$

$\frac{1+\sqrt5}{2}$

$\frac{1+\sqrt5}{8}$

$\frac{2+\sqrt10}{2}$

Correct answer:

$1+\sqrt5$

Explanation:

Write the formula for finding the diagonal of a pentagon.

$d=\frac{1+\sqrt5}{2}s$

Plug in the side length and simplify.

$d=\frac{1+\sqrt5}{2}(2)= 1+\sqrt5$

Report an Error

Example Question #3 : Pentagons

Find the length of the diagonal for a pentagon with a a side length of .

Possible Answers:

$5 + 5\sqrt{6}$

$6+6\sqrt{5}$

Correct answer:

$6+6\sqrt{5}$

Explanation:

Use the formula for the diagonal of a pentagon:

$d=\frac{s(1+\sqrt{5})}{2}$

$d=\frac{12(1+\sqrt{5})}{2}=6+6\sqrt{5}$

Report an Error

Example Question #21 : Plane Geometry

Find the length of the diagonal for a pentagon with a perimeter of .

Possible Answers:

$3+3\sqrt{5}$

$4+4\sqrt{5}$

$6+6\sqrt{5}$

$2+2\sqrt{5}$

Correct answer:

$3+3\sqrt{5}$

Explanation:

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

P=5s

30=5s

s=6

2. Use the formula for the diagonal of a pentagon:

$d=\frac{s(1+\sqrt{5})}{2}$

$d=\frac{6(1+\sqrt{5})}{2}=3+3\sqrt{5}$

Report an Error

Example Question #21 : Geometry

Find the diagonal for a pentagon with a perimeter of .

Possible Answers:

$\frac{5(1+\sqrt{5})}{2}$

$\frac{7(1+\sqrt{6})}{2}$

$\frac{4(1+\sqrt{3})}{2}$

$\frac{3(6+\sqrt{5})}{2}$

Correct answer:

$\frac{5(1+\sqrt{5})}{2}$

Explanation:

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

P=5s

25=5s

s=5

2. Use the formula for the diagonal of a pentagon:

$d=\frac{s(1+\sqrt{5})}{2}$

$d=\frac{5(1+\sqrt{5})}{2}$

Report an Error

Example Question #4 : Pentagons

If a side of the pentagon is , what is the diagonal of the pentagon?

Possible Answers:

$12+12\sqrt5$

$1+\sqrt5$

$6+6\sqrt5$

$12\sqrt5$

Correct answer:

$6+6\sqrt5$

Explanation:

Write the diagonal formula for a pentagon.

$d=\frac{1+\sqrt5}{2}s$

Substitute the side length and find the diagonal.

$d=\frac{1+\sqrt5}{2}(12) = (1+\sqrt5)(6) = 6+6\sqrt5$

Report an Error

Example Question #21 : Act Math

Suppose the side length of a pentagon is . What is the area of the pentagon?

Possible Answers:

$\sqrt{25+10\sqrt5}$

$2\sqrt{5+5\sqrt5}$

$4\sqrt{5+5\sqrt5}$

$4\sqrt{25+10\sqrt5}$

$2\sqrt{10+10\sqrt5}$

Correct answer:

$4\sqrt{25+10\sqrt5}$

Explanation:

Write the formula for the area of a pentagon.

$A=\frac{1}{4}s^2\sqrt{5(5+2\sqrt5)}$

Substitute the side length and simplify the radical.

$A=\frac{1}{4}(4)^2\sqrt{5(5+2\sqrt5)}$

$A=4\sqrt{5(5+2\sqrt5)}$

$A=4\sqrt{25+10\sqrt5}$

Report an Error

Example Question #21 : Act Math

One side of a regular pentagon is {}12cm . Find the perimeter of the pentagon.

Possible Answers:

80cm

70cm

144cm

52cm

60cm

Correct answer:

60cm

Explanation:

In a regular pentagon, all of the sides are the same length.

The perimeter can then be found by summing all sides or multiplying by .

$12+12+12+12+12=12\times5=60cm$

Report an Error

Example Question #2 : How To Find The Perimeter Of A Pentagon

Pent2751

What is the perimeter of the regular pentagon pictured above?

Possible Answers:

7.5625

The answer cannot be determined.

6.875

15.75

13.75

Correct answer:

13.75

Explanation:

The key word in this question is "regular." Since the pentagon is regular, all of its sides are equal. This means that it, in fact, looks like:

Pent2752

The perimeter for this is simply 5*2.75 or 13.75 .

Report an Error

View ACT Math Tutors

Richard
Certified Tutor

Northeastern University, Bachelor in Arts, Business, General.

View ACT Math Tutors

Daniel
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Psychology.

View ACT Math Tutors

Sanchita
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Psychology.

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

SSAT Courses & Classes in Miami, MCAT Courses & Classes in Denver, LSAT Courses & Classes in Atlanta, ACT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in New York City, ACT Courses & Classes in Chicago, GRE Courses & Classes in San Diego, SAT Courses & Classes in San Diego, Spanish Courses & Classes in Phoenix, SSAT Courses & Classes in Houston

Popular Test Prep

ACT Test Prep in Houston, GMAT Test Prep in Phoenix, MCAT Test Prep in Houston, MCAT Test Prep in Atlanta, ACT Test Prep in San Francisco-Bay Area, ACT Test Prep in New York City, SAT Test Prep in Washington DC, LSAT Test Prep in Houston, GRE Test Prep in Phoenix, SAT Test Prep in Miami

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 : Geometry

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : Pentagons

Example Question #2 : Pentagons

Example Question #1 : How To Find The Length Of The Diagonal Of A Pentagon

Example Question #3 : Pentagons

Example Question #21 : Plane Geometry

Example Question #21 : Geometry

Example Question #4 : Pentagons

Example Question #21 : Act Math

Example Question #21 : Act Math

Example Question #2 : How To Find The Perimeter Of A Pentagon

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: