Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Plane Geometry

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

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #121 : Plane Geometry

Find the perimeter of a square that has a length of 13in.

Possible Answers:

$169\text{in}$

$125\text{in}$

$52\text{in}$

$39\text{in}$

$26\text{in}$

Correct answer:

$52\text{in}$

Explanation:

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

P = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 13in. Because it is a square, all sides are equal. Therefore, all sides are 13in.

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

$P = 13\text{in} +13\text{in} +13\text{in} +13\text{in}$

$P = 52\text{in}$

Report an Error

Example Question #122 : Plane Geometry

Which of the following is equal to the area of a square with perimeter 8 meters?

Possible Answers:

$160,000 \textrm{ cm}^{2}$

$80,000 \textrm{ cm}^{2}$

$40,000 \textrm{ cm}^{2}$

$20,000 \textrm{ cm}^{2}$

Correct answer:

$40,000 \textrm{ cm}^{2}$

Explanation:

The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 8, or 2, meters. One meter is equal to 100 centimeters, so the sidelength is 200 centimeters. Square this to get the area:

$200 ^{2} = 200 \times 200 = 40,000$ square centimeters.

Report an Error

Example Question #123 : Plane Geometry

Which of the following is the area of a square with perimeter 7 feet?

Possible Answers:

$529 \textrm{ in}^{2}$

$729 \textrm{ in}^{2}$

$441 \textrm{ in}^{2}$

$961 \textrm{ in}^{2}$

Correct answer:

$441 \textrm{ in}^{2}$

Explanation:

Convert 7 feet to inches by multiplying by 12: $7 \times 12 = 84$ inches.

The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 84 inches. This is $84 \div 4 = 21$ inches.

Square this to get the area:

$21 ^{2} = 21 \times 21 = 441$ square inches

Report an Error

Example Question #124 : Plane Geometry

What is the area of a square with a side length of 4?

Possible Answers:

Correct answer:

Explanation:

The area of a square is represented by the equation $\dpi{100} Area = side^{2}$ .

Therefore the area of this square is $\dpi{100} 4^{2}=16$ .

Report an Error

Example Question #125 : Plane Geometry

Square A has sides measuring 5 meters. A second square, Square B, has sides that are 2 meters longer than the sides of Square A. What is the difference in area of Square A and Square B?

Possible Answers:

$9\ m^2$

$49\ m^2$

$21\ m^2$

$24\ m^{2}$

$8\ m^2$

Correct answer:

$24\ m^{2}$

Explanation:

The area of Square A is 5 * 5, or 25 m².

Since each of Square B's sides is 2 meters longer, the sides measure 7 meters. Therefore, the area of square B is 49 m².

Subtract to find the difference in areas: $49-25=24\ m^2$

Report an Error

Example Question #5 : How To Find The Area Of A Square

The ratio of the length of a side of one square to the length of the side of another square is $\frac{a}{b}$ . Give the ratio of the area of the second square to the area of the first square.

Possible Answers:

$\frac{b^2}{a}$

$\frac{a^2}{b^2}$

$\frac{b^2}{a^2}$

$\frac{b}{a^2}$

Correct answer:

$\frac{b^2}{a^2}$

Explanation:

The area of a square can be found as follows:

Area=x^2

Where:

$x=Side\ Length$

So we can write:

$\frac{Area\ 2}{Area\ 1}=\frac{b^2}{a^2}$

Report an Error

Example Question #6 : How To Find The Area Of A Square

What is the area of a square if the length of one side is $\sqrt{3}$ ?

Possible Answers:

$\frac{1}{3}$

$3\sqrt{3}$

$\sqrt{3}$

Correct answer:

Explanation:

The area of a square is found by multiplying one side by itself.

$A=s\times s=s^2$

We are given the side length, allowing us to solve.

$s=\sqrt{3}$

$A=(\sqrt{3})^2=3$

Report an Error

Example Question #126 : Plane Geometry

A square has an area of 36, and each side is equal to What is the value of ?

Possible Answers:

Correct answer:

Explanation:

Each side of a square is equal to the square root of the area. The square root of 36 is 6, so each side is 6. Thus, 3x (being a side of the square is equal to 6. This means that x is equal to 2 because 3 times 2 is 6.

Report an Error

Example Question #127 : Plane Geometry

Find the area of a square with side length 10.

Possible Answers:

100

1000

Correct answer:

100

Explanation:

To find the area of a square, simply use the formula. Thus,

A=s^2=10^2=10*10=100

Report an Error

Example Question #128 : Plane Geometry

The area of a square is 4*side ?

Possible Answers:

True

False

Correct answer:

False

Explanation:

The area of a square is the side length squared not the side length times .

Report an Error

View Tutors

Sumit
Certified Tutor

Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.

View Tutors

Jozsef
Certified Tutor

University of Waterloo, Doctor of Philosophy, Applied Mathematics.

View Tutors

Reuben
Certified Tutor

University of Alberta, Bachelor of Science, Mathematics.

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in Atlanta, ACT Tutors in Atlanta, SSAT Tutors in San Francisco-Bay Area, French Tutors in Atlanta, ISEE Tutors in Washington DC, GRE Tutors in Los Angeles, ISEE Tutors in Seattle, Algebra Tutors in New York City, Calculus Tutors in Houston, ACT Tutors in Houston

Popular Courses & Classes

MCAT Courses & Classes in Chicago, MCAT Courses & Classes in Denver, ACT Courses & Classes in Seattle, Spanish Courses & Classes in Miami, ISEE Courses & Classes in Philadelphia, SSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in New York City, Spanish Courses & Classes in Seattle, MCAT Courses & Classes in Washington DC

Popular Test Prep

LSAT Test Prep in Boston, ACT Test Prep in Seattle, SSAT Test Prep in Denver, LSAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Philadelphia, LSAT Test Prep in Miami, ISEE Test Prep in New York City, GMAT Test Prep in Phoenix, MCAT Test Prep in Chicago, GMAT Test Prep in San Francisco-Bay Area

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 Middle Level Math : Plane Geometry

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #121 : Plane Geometry

Example Question #122 : Plane Geometry

Example Question #123 : Plane Geometry

Example Question #124 : Plane Geometry

Example Question #125 : Plane Geometry

Example Question #5 : How To Find The Area Of A Square

Example Question #6 : How To Find The Area Of A Square

Example Question #126 : Plane Geometry

Example Question #127 : Plane Geometry

Example Question #128 : Plane Geometry

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: