Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Quadrilaterals

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 #3 : How To Find The Perimeter Of A Rhombus

Find the perimeter of a rhombus that has a side length of $6\frac{5}{8}$ .

Possible Answers:

$p=8\div53$

$p=\frac{53}{8}$

$p=\frac{8}{53}$

$p=4(\frac{53}{8})$

$p=\frac{1}{2}$

Correct answer:

$p=4(\frac{53}{8})$

Explanation:

In order to find the perimeter of this rhombus, first convert $6\frac{5}{8}$ from a mixed number to an improper fraction:

$6\frac{5}{8}=\frac{48+5}{8}=\frac{53}{8}$

Then apply the formula: p=4S , where is equal to one side of the rhombus.

Since, $S=\frac{53}{8}$ the solution is:

$p=4(\frac{53}{8})$

Report an Error

Example Question #21 : Rhombuses

A rhombus has an area of 108 square units, an altitude of . Find the perimeter of the rhombus.

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

$A=(base\times altitude)$

$108=(base\times 12)$

$base=108\div12=9$

Then apply the perimeter formula:

P=4S , where is equal to the length of one side of the rhombus.

The solution is:

$P=4\times9=36$

Report an Error

Example Question #22 : Rhombuses

A rhombus has an area of square units and an altitude of . Find the perimeter of the rhombus.

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

$A=(base\times altitude)$

$56=(base\times 7)$

$base=\frac{56}{7}=8$

Then apply the perimeter formula:

p=4S , where the length of one side of the rhombus.

p=4(8)=32

Report an Error

Example Question #23 : Rhombuses

Given that a rhombus has an area of 240 square units and an altitude of , find the perimeter of the rhombus.

Possible Answers:

160

Correct answer:

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

$A=(base\times altitude)$

$240=(base\times 16)$

$base=\frac{240}{16}=15$

Then apply the formula: p=4S , where S= 15

p=4(15)=60

Report an Error

Example Question #24 : Rhombuses

A rhombus has an area of square units and an altitude of 1.8 , find the perimeter of the rhombus.

Possible Answers:

28.5

Correct answer:

Explanation:

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:

$A=(base\times altitude)$

$9=(base\times 1.8)$

$base=\frac{9}{1.8}=5$
Then apply the formula: P=4S , where S=5

$P=4\times5=20$

Report an Error

Example Question #15 : How To Find The Perimeter Of A Rhombus

Find the perimeter of a rhombus if it has diagonals of the following lengths: and .

Possible Answers:

44.11

45.89

42.52

43.07

Correct answer:

42.52

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

$\frac{\text{Diagonal 1}}{2}=\frac{14}{2}=7$

$\frac{\text{Diagonal 2}}{2}=\frac{16}{2}=8$

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

$7^2+8^2=\text{side length}^2$

$\text{side length}^2=49+64=113$

$\text{side length}=\sqrt{113}$

Since the sides of a rhombus all have the same length, multiply the side length by in order to find the perimeter.

$\text{Perimeter}=4(\text{side length})$

$\text{Perimeter}=4\sqrt{113}$

Solve and round to two decimal places.

$\text{Perimeter}=42.52$

Report an Error

Example Question #16 : How To Find The Perimeter Of A Rhombus

Find the perimeter of a rhombus if it has diagonals of the following lengths: and

Possible Answers:

21.08

32.66

29.57

28.84

Correct answer:

28.84

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

$\frac{\text{Diagonal 1}}{2}=\frac{8}{2}=4$

$\frac{\text{Diagonal 2}}{2}=\frac{12}{2}=6$

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

$4^2+6^2=\text{side length}^2$

$\text{side length}^2=16+36=52$

$\text{side length}=2\sqrt{13}$

Since the sides of a rhombus all have the same length, multiply the side length by in order to find the perimeter.

$\text{Perimeter}=4(\text{side length})$

$\text{Perimeter}=4(2\sqrt{13})$

Solve and round to two decimal places.

$\text{Perimeter}=28.84$

Report an Error

Example Question #17 : How To Find The Perimeter Of A Rhombus

Find the perimeter of a rhombus if it has diagonals of the following lengths: and .

Possible Answers:

42.42

42.28

47.05

45.61

Correct answer:

45.61

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

$\frac{\text{Diagonal 1}}{2}=\frac{14}{2}=7$

$\frac{\text{Diagonal 2}}{2}=\frac{18}{2}=9$

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

$7^2+9^2=\text{side length}^2$

$\text{side length}^2=49+81=130$

$\text{side length}=\sqrt{130}$

Since the sides of a rhombus all have the same length, multiply the side length by in order to find the perimeter.

$\text{Perimeter}=4(\text{side length})$

$\text{Perimeter}=4(\sqrt{130})$

Solve and round to two decimal places.

$\text{Perimeter}=45.61$

Report an Error

Example Question #25 : Rhombuses

Find the perimeter of a rhombus if it has diagonals of the following lengths: and .

Possible Answers:

34.77

40.68

Cannot be determined

40.00

Correct answer:

40.00

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

$\frac{\text{Diagonal 1}}{2}=\frac{12}{2}=6$

$\frac{\text{Diagonal 2}}{2}=\frac{16}{2}=8$

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

$6^2+8^2=\text{side length}^2$

$\text{side length}^2=36+64=100$

$\text{side length}=10$

Since the sides of a rhombus all have the same length, multiply the side length by in order to find the perimeter.

$\text{Perimeter}=4(\text{side length})$

$\text{Perimeter}=4(10)$

Solve.

$\text{Perimeter}=40$

Report an Error

Example Question #19 : How To Find The Perimeter Of A Rhombus

Find the perimeter of a rhombus if it has diagonals of the following lengths: and .

Possible Answers:

73.84

65.29

70.77

71.18

Correct answer:

70.77

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

$\frac{\text{Diagonal 1}}{2}=\frac{24}{2}=12$

$\frac{\text{Diagonal 2}}{2}=\frac{26}{2}=13$

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

$12^2+13^2=\text{side length}^2$

$\text{side length}^2=144+169=313$

$\text{side length}=\sqrt{313}$

Since the sides of a rhombus all have the same length, multiply the side length by in order to find the perimeter.

$\text{Perimeter}=4(\text{side length})$

$\text{Perimeter}=4(\sqrt{313})$

Solve and round to two decimal places.

$\text{Perimeter}=70.77$

Report an Error

View Tutors

Maya
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Animation and Special Effects.

View Tutors

Alex
Certified Tutor

Vanderbilt University, Bachelor of Science, Psychology. Boston University, Master of Science, Speech-Language Pathology.

View Tutors

Michelle
Certified Tutor

University of Rhode Island, Bachelor of Science, Marine Biology. University of Rhode Island, Master of Arts, High School Teac...

All Intermediate Geometry Resources

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

Popular Subjects

Calculus Tutors in Atlanta, Reading Tutors in New York City, GRE Tutors in Chicago, English Tutors in Los Angeles, ACT Tutors in Seattle, Reading Tutors in Dallas Fort Worth, MCAT Tutors in Boston, Biology Tutors in Atlanta, Chemistry Tutors in San Francisco-Bay Area, SAT Tutors in Dallas Fort Worth

Popular Courses & Classes

GRE Courses & Classes in New York City, ISEE Courses & Classes in Seattle, LSAT Courses & Classes in Seattle, ACT Courses & Classes in Miami, GRE Courses & Classes in Miami, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in Atlanta, ACT Courses & Classes in San Diego, GMAT Courses & Classes in Washington DC, ISEE Courses & Classes in Dallas Fort Worth

Popular Test Prep

GMAT Test Prep in Miami, MCAT Test Prep in Miami, SAT Test Prep in Seattle, ACT Test Prep in San Diego, GMAT Test Prep in Washington DC, SSAT Test Prep in Miami, MCAT Test Prep in Atlanta, GMAT Test Prep in Dallas Fort Worth, MCAT Test Prep in San Diego, ISEE Test Prep in Chicago

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 : Quadrilaterals

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #3 : How To Find The Perimeter Of A Rhombus

Example Question #21 : Rhombuses

Example Question #22 : Rhombuses

Example Question #23 : Rhombuses

Example Question #24 : Rhombuses

Example Question #15 : How To Find The Perimeter Of A Rhombus

Example Question #16 : How To Find The Perimeter Of A Rhombus

Example Question #17 : How To Find The Perimeter Of A Rhombus

Example Question #25 : Rhombuses

Example Question #19 : How To Find The Perimeter Of A Rhombus

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: