Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

Create An Account

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 … 50 51 52 53 54 55 56 57 58 Next →

Example Question #36 : How To Find The Length Of The Side Of A Square

If the area of a square is 6724 , find the length of one side of the square.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

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

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{6724}=82$

Report an Error

Example Question #37 : How To Find The Length Of The Side Of A Square

If the area of a square is 784 , find the length of one side of the square.

Possible Answers:

196

Correct answer:

Explanation:

Recall how to find the area of a square:

$\text{Area}=\text{side length}^2$

We can rewrite that equation into the following:

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

Now, plug in the given area to find the side length of the square.

$\text{Side length}=\sqrt{784}=28$

Report an Error

Example Question #38 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is $2\sqrt2$ , what is the length of one side of the square?

Possible Answers:

$\sqrt2$

$2\sqrt2$

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{2\sqrt2}{\sqrt{2}}=2$

Simplify.

$\text{Side length}=2$

Report an Error

Example Question #31 : How To Find The Length Of The Side Of A Square

If the diagonal of the square is $4\sqrt2$ , what is the length of one side of the square?

Possible Answers:

$2\sqrt2$

$4\sqrt2$

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{4\sqrt2}{\sqrt{2}}$

Simplify.

$\text{Side length}=4$

Report an Error

Example Question #34 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is $12\sqrt2$ , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{12\sqrt2}{\sqrt{2}}$

Simplify.

$\text{Side length}=12$

Report an Error

Example Question #41 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is $55\sqrt2$ , what is the length of one side of the square?

Possible Answers:

$\frac{55}{\sqrt2}$

$45\sqrt2$

$55\sqrt2$

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{55\sqrt2}{\sqrt{2}}$

Simplify.

$\text{Side length}=55$

Report an Error

Example Question #961 : Plane Geometry

If the diagonal of a square is $16\sqrt2$ , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{16\sqrt2}{\sqrt{2}}$

Simplify.

$\text{Side length}=16$

Report an Error

Example Question #962 : Plane Geometry

If the diagonal of a square is $27\sqrt2$ , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{27\sqrt2}{\sqrt{2}}$

Simplify.

$\text{Side length}=27$

Report an Error

Example Question #41 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is $10\sqrt2$ , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{10\sqrt2}{\sqrt{2}}$

Simplify.

$\text{Side length}=10$

Report an Error

Example Question #963 : Plane Geometry

If the diagonal of a square is $9\sqrt2$ , what is the length of one side of the square?

Possible Answers:

$9\sqrt2$

$18\sqrt2$

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

$\text{Side length}=\frac{\text{Diagonal}}{\sqrt2}$

For the square given in the question,

$\text{Side length}=\frac{9\sqrt2}{\sqrt{2}}$

Simplify.

$\text{Side length}=9$

Report an Error

← Previous 1 2 … 50 51 52 53 54 55 56 57 58 Next →

View Tutors

Yolanda
Certified Tutor

Florida State University, Doctor of Philosophy, Creative Writing.

View Tutors

Audrey
Certified Tutor

SUNY at Binghamton, Bachelor in Arts, Actuarial Science.

View Tutors

Jessica
Certified Tutor

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Los Angeles, ACT Tutors in Washington DC, Computer Science Tutors in New York City, Math Tutors in Washington DC, Biology Tutors in Atlanta, SSAT Tutors in Chicago, Reading Tutors in Phoenix, Statistics Tutors in Chicago, Math Tutors in Dallas Fort Worth, ISEE Tutors in Miami

Popular Courses & Classes

SAT Courses & Classes in Houston, SAT Courses & Classes in Chicago, ACT Courses & Classes in Atlanta, ACT Courses & Classes in Boston, LSAT Courses & Classes in Atlanta, SSAT Courses & Classes in Atlanta, Spanish Courses & Classes in Los Angeles, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Miami

Popular Test Prep

SAT Test Prep in New York City, ACT Test Prep in Seattle, SSAT Test Prep in New York City, ACT Test Prep in Washington DC, LSAT Test Prep in Philadelphia, LSAT Test Prep in Atlanta, LSAT Test Prep in Denver, SSAT Test Prep in Houston, SAT Test Prep in San Diego, LSAT 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

Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #36 : How To Find The Length Of The Side Of A Square

Example Question #37 : How To Find The Length Of The Side Of A Square

Example Question #38 : How To Find The Length Of The Side Of A Square

Example Question #31 : How To Find The Length Of The Side Of A Square

Example Question #34 : How To Find The Length Of The Side Of A Square

Example Question #41 : How To Find The Length Of The Side Of A Square

Example Question #961 : Plane Geometry

Example Question #962 : Plane Geometry

Example Question #41 : How To Find The Length Of The Side Of A Square

Example Question #963 : Plane Geometry

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: