Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Parallelogram_custom_4

Find the perimeter of the parallelogram shown above.

Possible Answers:

$\small p=2(\sqrt{40})$

$\small p=\small 63$

$\small p=2(9+\sqrt{40})$

$\small p=(9+\sqrt{40})$

Correct answer:

$\small p=2(9+\sqrt{40})$

Explanation:

To solve this problem, apply the formula $\small \small perimeter=2(base+side)$ .

Since the length of the side is not provided in the figure, apply the formula $\small a^2 +b^2=c^2$ , where $\small a=h$ , $\small b=2$ and $\small c=$ the side of the parallelogram.

The solution is:

$\small 6^2+2^2=c^2$
$\small 36+4=c^2$
$\small 40=c^2$
$\small c=\sqrt{40}$

Thus,

$\small p=2(9+\sqrt{40})$

Report an Error

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

A parallelogram has a base that is $\small 5$ times greater than the length of the side of the parallelogram. If the length of the side is $\small \small \sqrt{169}$ , what is the perimeter of the parallelogram?

Possible Answers:

$\small 65$

$\small 78$

$\small 165$

$\small 156$

Correct answer:

$\small 156$

Explanation:

To solve this problem, first find the $\small \sqrt{169}=13$ . Then to find the length of the base: $\small 13\times 5=65$

Then apply the formula:

$\small p=2(base+side)$ .

$\small p=2(65+13)$

$\small \small p=2(78)=156$

Report an Error

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

Find the perimeter (in inches) of a parallelogram that has a base of $\small \small 1\frac{3}{4} ft$ and a side length of $\small 1\frac{1}{2} ft$ .

Possible Answers:

$\small 89in$

$\small 378 in$

$\small 78in$

$\small 39in$

Correct answer:

$\small 78in$

Explanation:

To find the perimeter of the parallelogram apply the formula: $\small Perimeter=2(base+side)$ . However, to find the solution with the correct unit, convert $\small 1\frac{3}{4} feet=21 inches$ and $\small 1\frac{1}{2}feet=18 inches$ . We can convert feet into inches because 12in=1ft .

Thus, the solution is:

$\small P=2(21+18)$
$\small P=2(39)$
$\small P=78$

Report an Error

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

A parallelogram has a base length of $\small 15$ and a side length of $\small \frac{base}{2}$ . Find the perimeter of the parallelogram.

Possible Answers:

$\small 54$

$\small 30$

$\small 45$

$\small 39$

Correct answer:

$\small 45$

Explanation:

To solve this problem, apply the formula: $\small P=2(base+side)$ .

Since, the side length is equal to $\small \frac{base}{2}$ , the solution is:

$\small P=2(15+\frac{15}{2})$

$\small P=2(15+7.5)$

$\small P=2(22.5)=45$

Report an Error

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

If a parallelogram has a base that is three times the length of the side, and the side length is equal to $\small \frac{3}{4}foot$ , what is the perimeter of the parallelogram in inches?

Possible Answers:

2ft

64in

72in

78in

Correct answer:

72in

Explanation:

The side length of this parallelogram is $\small \frac{3}{4}$ foot, which is equivalent to $\small 9$ inches because $12in=1ft \rightarrow \frac{3}{4}\cdot 12=\frac{36}{4}=9in$ .

Thus, the base must be $\small 9\times 3=27$ .

Then, apply the formula $\small p=2(base+side)$

$\small P=2(27+9)$

$\small P=2(36)=72$

Report an Error

Example Question #351 : Plane Geometry

If a parallelogram has a base of $\small 9$ and a side length of $\small \frac{9}{3}$ , find the perimeter of the parallelogram.

Possible Answers:

$\small 21$

$\small 12$

$\small 24$

$\small 27$

Correct answer:

$\small 24$

Explanation:

To solve this problem, apply the formula: $\small p=2(base+side)$ .

Thus, the solution is:

$\small p=2\left(9+\frac{9}{3}\right)$

$\small p=2(9+3)$

$\small p=2(12)=24$

Report an Error

Example Question #1 : How To Find An Angle In A Parallelogram

A parallelogram contains 2 angles measuring 135 and 45. What are the measures of the other 2 angles?

Possible Answers:

80,100

45,135

60,120

90,90

Any pair of numbers which add to 180

Correct answer:

45,135

Explanation:

Parallelograms have angles totalling 360 degrees, but also have matching pairs of angles at the ends of diagonals. Therefore the 2 additional angles must match the 2 given in the question.

Report an Error

Example Question #1 : How To Find An Angle In A Parallelogram

Rhombus_with_missing_angles_

Using the above rhombus, find the measurement of angle

Possible Answers:

$70^\circ$

$180^\circ$

$110^\circ$

$50^\circ$

Correct answer:

$70^\circ$

Explanation:

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees)--i.e. angles A+D=180 degrees.

Thus, the solution is:

110+ $\measuredangle D=180$

$\measuredangle D=180-110=70$

Report an Error

Example Question #3 : How To Find An Angle In A Parallelogram

Rhombus_with_missing_angles_

Using the above rhombus, find the measurement of angle .

Possible Answers:

$60^\circ$

$70^\circ$

$110^\circ$

$55^\circ$

Correct answer:

$110^\circ$

Explanation:

Report an Error

Example Question #4 : How To Find An Angle In A Parallelogram

Custom_vt_rhomb_3

Using the above rhombus, find the sum of angle and angle .

Possible Answers:

$133^\circ$

$94^\circ$

$47^\circ$

$90^\circ$

Correct answer:

$94^\circ$

Explanation:

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal 360 degrees. And, the adjacent interior angles must be supplementary angles (sum of 180 degrees).

Thus, the solution is:

$\measuredangle H=47^\circ$

$\measuredangle F=47^\circ$

$47^\circ+47^\circ=94^\circ$

Report an Error

View Tutors

Saarim
Certified Tutor

St Edwards University, Bachelor of Science, Mathematics.

View Tutors

Judith
Certified Tutor

Ohio University-Main Campus, Bachelor in Arts, Global Studies.

View Tutors

Chandra
Certified Tutor

Pune University, Bachelor of Science, Physics. Louisiana State University and Agricultural & Mechanical College, Doctor of Sc...

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in Atlanta, Computer Science Tutors in San Francisco-Bay Area, Chemistry Tutors in Boston, Calculus Tutors in Houston, GMAT Tutors in Miami, Statistics Tutors in Atlanta, ACT Tutors in Dallas Fort Worth, Physics Tutors in New York City, Chemistry Tutors in Dallas Fort Worth, LSAT Tutors in San Diego

Popular Courses & Classes

GMAT Courses & Classes in Seattle, ACT Courses & Classes in Phoenix, ISEE Courses & Classes in Washington DC, ACT Courses & Classes in Philadelphia, ISEE Courses & Classes in Boston, GRE Courses & Classes in Phoenix, LSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in San Diego, ACT Courses & Classes in Denver, Spanish Courses & Classes in San Francisco-Bay Area

Popular Test Prep

SAT Test Prep in San Diego, ACT Test Prep in Denver, SSAT Test Prep in Houston, MCAT Test Prep in Dallas Fort Worth, ACT Test Prep in Philadelphia, ACT Test Prep in Phoenix, GMAT Test Prep in San Diego, ACT Test Prep in Miami, LSAT Test Prep in New York City, GMAT 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

Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

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

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

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

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

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

Example Question #351 : Plane Geometry

Example Question #1 : How To Find An Angle In A Parallelogram

Example Question #1 : How To Find An Angle In A Parallelogram

Example Question #3 : How To Find An Angle In A Parallelogram

Example Question #4 : How To Find An Angle In A Parallelogram

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: