Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : How to find the perimeter of a figure

Study concepts, example questions & explanations for HSPT Math

Create An Account

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #59 : Geometry

What is the perimeter of a square with a side length of a-1 $\displaystyle a-1$?

Possible Answers:

4a^2-4 $\displaystyle 4a^2-4$

a^2-4 $\displaystyle a^2-4$

a-4 $\displaystyle a-4$

4a+4 $\displaystyle 4a+4$

4a-4 $\displaystyle 4a-4$

Correct answer:

4a-4 $\displaystyle 4a-4$

Explanation:

Write the perimeter formula for a square.

P=4s $\displaystyle P=4s$

Substitute the side length in the formula and simplify.

$\displaystyle P=4(a-1)= 4a-4$

Report an Error

Example Question #12 : How To Find The Perimeter Of A Figure

A circle has radius 8. The circumference of the circle is 40% of what number?

Possible Answers:

$25 \pi$ $\displaystyle 25 \pi$

$40 \pi$ $\displaystyle 40 \pi$

$2 0 \pi$ $\displaystyle 2 0 \pi$

$80 \pi$ $\displaystyle 80 \pi$

Correct answer:

$40 \pi$ $\displaystyle 40 \pi$

Explanation:

The circumference of a circle is its radius mulitplied by $2 \pi$ $\displaystyle 2 \pi$. The radius is 8, so the circumference is

$8 \cdot 2 \pi = 16 \pi$ $\displaystyle 8 \cdot 2 \pi = 16 \pi$.

To find the number of which this is 40%, divide this by 40%, or $\frac{40 }{100}$ $\displaystyle \frac{40 }{100}$:

$16 \pi \div\frac{40 }{100} = 16 \pi \div\frac{2}{5} = 16 \pi \cdot \frac{5} {2} = \frac{80 \pi} {2} = 40 \pi$ $\displaystyle 16 \pi \div\frac{40 }{100} = 16 \pi \div\frac{2}{5} = 16 \pi \cdot \frac{5} {2} = \frac{80 \pi} {2} = 40 \pi$

Report an Error

Example Question #262 : Problem Solving

$\bigtriangleup ABC \sim \bigtriangleup DEF$ $\displaystyle \bigtriangleup ABC \sim \bigtriangleup DEF$.

$\angle B$ $\displaystyle \angle B$ is a right angle.

$m \angle C = 45 ^{\circ }$ $\displaystyle m \angle C = 45 ^{\circ }$.

Is $\bigtriangleup DEF$ $\displaystyle \bigtriangleup DEF$ scalene, isosceles, or equilateral - or can it be determined?

Possible Answers:

Whether $\bigtriangleup DEF$ $\displaystyle \bigtriangleup DEF$ is scalene, isosceles, or equilateral cannot be determined.

$\bigtriangleup DEF$ $\displaystyle \bigtriangleup DEF$ is an equilateral triangle.

$\bigtriangleup DEF$ $\displaystyle \bigtriangleup DEF$ is a isosceles triangle, but not equilateral.

$\bigtriangleup DEF$ $\displaystyle \bigtriangleup DEF$ is a scalene triangle.

Correct answer:

$\bigtriangleup DEF$ $\displaystyle \bigtriangleup DEF$ is a isosceles triangle, but not equilateral.

Explanation:

Corresponding angles of similar triangles are congruent, so

$m \angle E = m \angle B = 90 ^{\circ }$ $\displaystyle m \angle E = m \angle B = 90 ^{\circ }$

$m \angle F = m \angle C = 45 ^{\circ }$ $\displaystyle m \angle F = m \angle C = 45 ^{\circ }$

The degree measures of the angles of a triangle total 180, so

$m \angle D =180^{\circ } - (m \angle F +m \angle E )$ $\displaystyle m \angle D =180^{\circ } - (m \angle F +m \angle E )$

$m \angle D =180^{\circ } - (90^{\circ } +45^{\circ } ) = 45^{\circ }$ $\displaystyle m \angle D =180^{\circ } - (90^{\circ } +45^{\circ } ) = 45^{\circ }$

Since $\angle D$ $\displaystyle \angle D$ and $\angle F$ $\displaystyle \angle F$ are congruent, by the Isosceles Triangle Theorem,

$\overline{EF} \cong \overline{DE}$ $\displaystyle \overline{EF} \cong \overline{DE}$

making $\bigtriangleup DEF$ $\displaystyle \bigtriangleup DEF$ isosceles.

Report an Error

Example Question #263 : Problem Solving

A ladder 30 feet long leans against a house. The top of the ladder is $\displaystyle N$ feet above the ground. In terms of $\displaystyle N$, how far along the ground is the bottom of the ladder from the house?

Possible Answers:

30 + N $\displaystyle 30 + N$

$\sqrt{900 + N^{2}}$ $\displaystyle \sqrt{900 + N^{2}}$

$\sqrt{900 - N^{2}}$ $\displaystyle \sqrt{900 - N^{2}}$

30 - N $\displaystyle 30 - N$

Correct answer:

$\sqrt{900 - N^{2}}$ $\displaystyle \sqrt{900 - N^{2}}$

Explanation:

The ladder, which is 30 feet long, is the hypotenuse of a right triangle whose legs are the line from the top of the ladder to the ground, which has length $\displaystyle N$ feet, and the line from the bottom of the ladder horizontally to the house, whose length we will call $\displaystyle M$ feet. See the diagram below.

Ladder

By the Pythagorean Theorem,

$M^{2}+N^{2} = 30 ^{2} = 900$ $\displaystyle M^{2}+N^{2} = 30 ^{2} = 900$

Solving for $\displaystyle M$:

$M^{2}+N^{2} - N^{2} = 900 - N^{2}$ $\displaystyle M^{2}+N^{2} - N^{2} = 900 - N^{2}$

$M^{2}= 900 - N^{2}$ $\displaystyle M^{2}= 900 - N^{2}$

$M = \sqrt{900 - N^{2}}$ $\displaystyle M = \sqrt{900 - N^{2}}$, the correct choice.

Report an Error

Example Question #6 : Parallelograms

What is the perimeter of the polygon below?

Possible Answers:

46in $\displaystyle 46in$

43in $\displaystyle 43in$

48in $\displaystyle 48in$

45in $\displaystyle 45in$

47in $\displaystyle 47in$

Correct answer:

48in $\displaystyle 48in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 9+15+6+8+3+7=48$

Report an Error

Example Question #7 : Parallelograms

What is the perimeter of the polygon below?

Possible Answers:

38in $\displaystyle 38in$

32in $\displaystyle 32in$

33in $\displaystyle 33in$

31in $\displaystyle 31in$

30in $\displaystyle 30in$

Correct answer:

32in $\displaystyle 32in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 8+7+4+1+4+8=32$

Report an Error

Example Question #12 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below?

Possible Answers:

41in $\displaystyle 41in$

42in $\displaystyle 42in$

44in $\displaystyle 44in$

43in $\displaystyle 43in$

40in $\displaystyle 40in$

Correct answer:

42in $\displaystyle 42in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 12+5+8+4+4+9=42$

Report an Error

Example Question #61 : Geometry

What is the perimeter of the polygon below?

Possible Answers:

54in $\displaystyle 54in$

53in $\displaystyle 53in$

51in $\displaystyle 51in$

52in $\displaystyle 52in$

55in $\displaystyle 55in$

Correct answer:

52in $\displaystyle 52in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 15+10+5+1+10+11=52$

Report an Error

Example Question #62 : Geometry

What is the perimeter of the polygon below?

Possible Answers:

41in $\displaystyle 41in$

40in $\displaystyle 40in$

44in $\displaystyle 44in$

43in $\displaystyle 43in$

42in $\displaystyle 42in$

Correct answer:

40in $\displaystyle 40in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 8+12+4+6+4+6=40$

Report an Error

Example Question #11 : Parallelograms

What is the perimeter of the polygon below?

Possible Answers:

37in $\displaystyle 37in$

35in $\displaystyle 35in$

36in $\displaystyle 36in$

38in $\displaystyle 38in$

34in $\displaystyle 34in$

Correct answer:

38in $\displaystyle 38in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 7+7+2+5+5+12=38$

Report an Error

View Tutors

Meg, M.Ed.
Certified Tutor

The University of Tennessee, Bachelor of Science, Hospitality Administration and Management. Lincoln Memorial University, Mas...

View Tutors

Mark
Certified Tutor

Eastern Michigan University, Bachelor of Science, Education of Individuals in Secondary Special Education Programs. Eastern M...

View Tutors

Sharon
Certified Tutor

Tabor College, Bachelor of Science, Mathematics Teacher Education. Tabor College, Masters in Education, Education.

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Denver, Computer Science Tutors in Los Angeles, Algebra Tutors in Phoenix, Computer Science Tutors in Atlanta, Physics Tutors in Dallas Fort Worth, SAT Tutors in San Francisco-Bay Area, GMAT Tutors in Atlanta, Computer Science Tutors in Washington DC, English Tutors in San Francisco-Bay Area, Statistics Tutors in Dallas Fort Worth

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, LSAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Washington DC, LSAT Courses & Classes in Atlanta, ISEE Courses & Classes in Denver, SSAT Courses & Classes in New York City, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Seattle, ISEE Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in Houston, GRE Test Prep in Los Angeles, ISEE Test Prep in Dallas Fort Worth, SAT Test Prep in Boston, LSAT Test Prep in Miami, GRE Test Prep in Miami, ACT Test Prep in Miami, GMAT Test Prep in Phoenix, MCAT Test Prep in Houston, SAT Test Prep in Houston

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

HSPT Math : How to find the perimeter of a figure

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #59 : Geometry

Example Question #12 : How To Find The Perimeter Of A Figure

Example Question #262 : Problem Solving

Example Question #263 : Problem Solving

Example Question #6 : Parallelograms

Example Question #7 : Parallelograms

Example Question #12 : How To Find The Perimeter Of A Figure

Example Question #61 : Geometry

Example Question #62 : Geometry

Example Question #11 : Parallelograms

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: