We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : How to find the length of the side of a square

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 #21 : Squares

The area of a square is 169 square inches. What is the length of one side ($\displaystyle a$ in the diagram below)?

Possible Answers:

$26\ inches$ $\displaystyle 26\ inches$

$84.5\ inches$ $\displaystyle 84.5\ inches$

$42.25\ inches$ $\displaystyle 42.25\ inches$

$52\ inches$ $\displaystyle 52\ inches$

$13\ inches$ $\displaystyle 13\ inches$

Correct answer:

$13\ inches$ $\displaystyle 13\ inches$

Explanation:

Area of a quadrilateral is found by length times width. In a square, these are the same, so the length of side $\displaystyle a$ is a number that, when multiplied by itself is equal to 169.

In other words, take the square root of 169 to find the length of $\displaystyle a$.

$\sqrt{169}=13$ $\displaystyle \sqrt{169}=13$

Report an Error

Example Question #1 : How To Find The Length Of The Side Of A Square

If the perimeter of a square is 36in, what is the length of one side?

Possible Answers:

$6\text{in}$ $\displaystyle 6\text{in}$

$9\text{in}$ $\displaystyle 9\text{in}$

$4\text{in}$ $\displaystyle 4\text{in}$

$8\text{in}$ $\displaystyle 8\text{in}$

$7\text{in}$ $\displaystyle 7\text{in}$

Correct answer:

$9\text{in}$ $\displaystyle 9\text{in}$

Explanation:

To find the perimeter of a square, we will use the following formula:

P = 4a $\displaystyle P = 4a$

where a is the length of any side of the square. Because a square has 4 equal sides, we can use any side in the formula. To find the length of any side, we will solve for a.

Now, we know the perimeter of the square is 36in. So, we will substitute.

$36\text{in} = 4a$ $\displaystyle 36\text{in} = 4a$

$\frac{36\text{in}}{4} = \frac{4a}{4}$ $\displaystyle \frac{36\text{in}}{4} = \frac{4a}{4}$

$9\text{in} = a$ $\displaystyle 9\text{in} = a$

$a = 9\text{in}$ $\displaystyle a = 9\text{in}$

Therefore, the length of one side of the square is 9in.

Report an Error

Example Question #1 : How To Find The Length Of The Side Of A Square

Your new friend has a very small, square-shaped dorm room. She tells you that it is only 225 square feet. Assuming this is true, what is the length of one side of her room?

Possible Answers:

45ft $\displaystyle 45ft$

25 ft $\displaystyle 25 ft$

12.5 ft $\displaystyle 12.5 ft$

15 ft $\displaystyle 15 ft$

Correct answer:

15 ft $\displaystyle 15 ft$

Explanation:

Your new friend has a very small, square-shaped dorm room. She tells you that it is only 225 square feet. Assuming this is true, what is the length of one side of her room?

Let's begin with our formula for the area of a square:

A=s^2 $\displaystyle A=s^2$

where s is our side length and A is our area.

With this formula, we can solve for our side length by plugging in our area and square rooting both sides.

$\displaystyle 225 ft^2=s^2$

$s=\sqrt{225ft^2}=15ft$ $\displaystyle s=\sqrt{225ft^2}=15ft$

Report an Error

Example Question #2 : How To Find The Length Of The Side Of A Square

A square has a perimeter of 60cm. Find the length of one side.

Possible Answers:

$30\text{cm}$ $\displaystyle 30\text{cm}$

$25\text{cm}$ $\displaystyle 25\text{cm}$

$20\text{cm}$ $\displaystyle 20\text{cm}$

$15\text{cm}$ $\displaystyle 15\text{cm}$

$10\text{cm}$ $\displaystyle 10\text{cm}$

Correct answer:

$15\text{cm}$ $\displaystyle 15\text{cm}$

Explanation:

A square has 4 equal sides. The formula to find perimeter of a square is:

P = 4a $\displaystyle P = 4a$

where a is the length of any side. Now, to find the length of one side, we will solve for a.

We know the perimeter of the square is 60cm. So, we can substitute and solve for a. We get

$60\text{cm} = 4a$ $\displaystyle 60\text{cm} = 4a$

$\frac{60\text{cm}}{4} = \frac{4a}{4}$ $\displaystyle \frac{60\text{cm}}{4} = \frac{4a}{4}$

$15\text{cm} = a$ $\displaystyle 15\text{cm} = a$

$a = 15\text{cm}$ $\displaystyle a = 15\text{cm}$

Therefore, the length of one side of the square is 15cm.

Report an Error

View Tutors

Kaitlyn
Certified Tutor

Fairfield University, Bachelor of Science, Biology, General. NUI Galway Ireland, Master of Science, Neuroscience.

View Tutors

Iffy
Certified Tutor

University of Maryland-Baltimore County, Bachelor of Science, Computer Engineering, General. University of Maryland-College P...

View Tutors

Chase
Certified Tutor

University of Memphis, Bachelor in Arts, Psychology.

All ISEE Upper Level Math Resources

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

Popular Subjects

Physics Tutors in Washington DC, Reading Tutors in New York City, English Tutors in Dallas Fort Worth, Biology Tutors in San Diego, SSAT Tutors in Phoenix, Statistics Tutors in San Francisco-Bay Area, Statistics Tutors in Chicago, MCAT Tutors in San Diego, GMAT Tutors in Phoenix, Math Tutors in Denver

Popular Courses & Classes

SAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Denver, Spanish Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Phoenix, ACT Courses & Classes in Seattle, Spanish Courses & Classes in San Diego, GRE Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Chicago, GRE Courses & Classes in Seattle, SAT Courses & Classes in Boston

Popular Test Prep

GMAT Test Prep in Atlanta, ACT Test Prep in Seattle, ISEE Test Prep in Chicago, SSAT Test Prep in Seattle, GMAT Test Prep in Denver, MCAT Test Prep in Phoenix, ISEE Test Prep in Phoenix, SAT Test Prep in Seattle, GMAT Test Prep in Houston, SSAT 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 length of the side of a square

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #21 : Squares

Example Question #1 : How To Find The Length Of The Side Of A Square

Example Question #1 : How To Find The Length Of The Side Of A Square

Example Question #2 : How To Find The Length Of The Side Of A Square

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: