Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : How to find the perimeter of a parallelogram

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

Create An Account

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #54 : Quadrilaterals

Parallelogram1

The area of the Parallelogram ABCD is . Give its perimeter in terms of .

Possible Answers:

$4 \sqrt{X }$

$2 \sqrt{3X}$

$\sqrt{6X}$

$4 \sqrt{2X}$

$2 \sqrt{X} + 2 \sqrt{2X}$

Correct answer:

$2 \sqrt{X} + 2 \sqrt{2X}$

Explanation:

The height of the parallelogram is , and the base is . By the 45-45-90 Theorem, BD=CD . Since the product of the height and the base of a parallelogram is its area,

$BD \cdot CD = A$

$\left (BD \right )^{2} = X$

$BD = \sqrt{X}$

Also by the 45-45-90 Theorem,

$CD = AB = BD = \sqrt{X}$ , and

$AD = BC = \sqrt{X} \cdot \sqrt{2} = \sqrt{2X}$

The perimeter of the parallelogram is

$AB + CD + BC + AD = \sqrt{X} + \sqrt{X} + \sqrt{2X}+ \sqrt{2X} = 2 \sqrt{X} + 2 \sqrt{2X}$

Report an Error

Example Question #283 : Plane Geometry

Parallelogram1

Calculate the perimeter of the above parallelogram if $BD = 8\sqrt{2}$ .

Possible Answers:

$32+ 16 \sqrt{2}$

$48\sqrt{2}$

$16+ 16 \sqrt{2}$

$32+ 32\sqrt{2}$

Correct answer:

$32+ 16 \sqrt{2}$

Explanation:

By the 45-45-90 Theorem,

$AB= CD = BD = 8\sqrt{2}$

$AD= BC = BD \cdot \sqrt{2} = 8\sqrt{2} \cdot \sqrt{2} = 8 \cdot 2 = 16$

The perimeter of the parallelogram is

$AB + CD + BC + AD = 8 \sqrt{2} + 8 \sqrt{2} + 16+16 = 32+ 16 \sqrt{2}$

Report an Error

Example Question #5 : Parallelograms

Parallelogram2

Calculate the perimeter of the above parallelogram if $BD = 30\sqrt{6}$ .

Possible Answers:

$360\sqrt{2}$

$180\sqrt{2}$

$240+120\sqrt{2}$

360

$180+180\sqrt{2}$

Correct answer:

$180\sqrt{2}$

Explanation:

By the 30-60-90 Theorem:

$AB = CD= \frac{BD}{\sqrt{3}} = \frac{30 \sqrt{6}}{\sqrt{3}}= 30\sqrt{2}$ , and

$BC = AD = 2\cdot AB = 2 \cdot 30\sqrt{2} =60\sqrt{2}$

The perimeter of the parallelogram is

$AB + CD + BC + AD = 30\sqrt{2}+ 30\sqrt{2}+60\sqrt{2}+60\sqrt{2}= 180\sqrt{2}$

Report an Error

Example Question #284 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Find the perimeter of a parallelogram with a base of 6in and a side of length 8in.

Possible Answers:

$32\text{in}$

$48\text{in}$

$28\text{in}$

$36\text{in}$

$24\text{in}$

Correct answer:

$28\text{in}$

Explanation:

A parallelogram has 4 sides. A base (where the opposite side is equal) and a side (where the opposite side is equal). So, we will use the following formula:

P = b+b+s+s

where b is the base and s is the side of the parallelogram.

We know the base has a length of 6in. We also know the side has a length of 8in.

Knowing this, we can substitute into the formula. We get

$P = 6\text{in} + 6\text{in} + 8\text{in} + 8\text{in}$

$P = 28\text{in}$

Report an Error

View Tutors

Ana
Certified Tutor

Grand Canyon University, Bachelors, Education. Grand Canyon University, Masters, Education.

View Tutors

Crystal
Certified Tutor

SUNY at Binghamton, Bachelor of Science, Mechanical Engineering.

View Tutors

Pushpendra
Certified Tutor

university of allahabad, Bachelor of Science, Mathematics.

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in New York City, ACT Tutors in San Francisco-Bay Area, GRE Tutors in Philadelphia, Math Tutors in Phoenix, Reading Tutors in Los Angeles, ACT Tutors in Boston, LSAT Tutors in Boston, Math Tutors in Dallas Fort Worth, Reading Tutors in New York City, LSAT Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Atlanta, SAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Houston, GMAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Seattle, GRE Courses & Classes in Chicago, ACT Courses & Classes in Washington DC, LSAT Courses & Classes in Chicago, Spanish Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Chicago

Popular Test Prep

SAT Test Prep in Washington DC, ACT Test Prep in Houston, SSAT Test Prep in Boston, ISEE Test Prep in Miami, ACT Test Prep in Washington DC, GRE Test Prep in Los Angeles, LSAT Test Prep in Los Angeles, SSAT Test Prep in Philadelphia, MCAT Test Prep in Atlanta, GMAT 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

ISEE Upper Level Math : How to find the perimeter of a parallelogram

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #54 : Quadrilaterals

Example Question #283 : Plane Geometry

Example Question #5 : Parallelograms

Example Question #284 : Isee Upper Level (Grades 9 12) Mathematics Achievement

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: