GMAT Math : GMAT Quantitative Reasoning

Study concepts, example questions & explanations for GMAT Math

Create An Account

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Calculating The Area Of A Square

The perimeter of a square is the same as the circumference of a circle with radius 8. What is the area of the square?

Possible Answers:

$16 \pi$

$16 \pi^{2}$

The correct answer is not among the other choices.

$4 \pi$

$4 \pi^{2}$

Correct answer:

$16 \pi^{2}$

Explanation:

A circle with radius 8 has as its circumference $2 \pi$ times this, or

$2 \pi \cdot 8 = 16 \pi$ .

This is also the perimeter of the square, so the sidelength is one fourth of this, or

$\frac{1}{4} \cdot 16 \pi = 4 \pi$ .

The area is the square of this, or

$\left ( 4 \pi \right )^{2} = 16 \pi^{2}$ .

Report an Error

Example Question #15 : Calculating The Area Of A Square

The perimeter of a square is the same as the length of the hypotenuse of a right triangle with legs 8 and 12. What is the area of the square?

Possible Answers:

208

The correct answer is not among the other responses.

Correct answer:

Explanation:

The length of the hypotenuse of a right triangle with legs 8 and 12 can be determined using the Pythagorean Theorem:

$\sqrt{8^{2}+12^{2}} = \sqrt{64+144}= \sqrt{208} = \sqrt{16} \cdot \sqrt{13} = 4\sqrt{13}$

Since this is also the perimeter of the square, its sidelength is one fourth of this, or

$\frac{ 4\sqrt{13} }{4} =\sqrt{13}$

The area of the square is the square of this sidelength, or

$\left ( \sqrt{13} \right )^{2}= 13$

Report an Error

Example Question #11 : Calculating The Area Of A Square

If the perimeter of a square is 108 , what is its area?

Possible Answers:

10.4

729

820

1008

Correct answer:

729

Explanation:

The perimeter of a square, and any shape for that matter, is found by adding up all the exterior sides. Since all sides are equal in a square, we can say: P=x + x + x + x=4x

where represents the length of a side

We can solve for the side length using the information provided:

4x=108

x=27

The area of a square is found by squaring the side length:

A=x^2=27^2=729

Report an Error

Example Question #411 : Gmat Quantitative Reasoning

The perimeter of a square is $4 ^{d}$ . Give its area.

Possible Answers:

$4 ^{2d- 1}$

$4 ^{d-2}$

$4 ^{2d- 2 }$

$4 ^{d+3}$

$4 ^{d+1}$

Correct answer:

$4 ^{2d- 2 }$

Explanation:

The length of one side of a square is the perimeter divided by 4:

$\frac{4 ^{d} }{4} = \frac{4 ^{d} }{4 ^{1}} = 4 ^{d-1}$

Square this to get the area:

$( 4 ^{d-1} )^{2} = 4 ^{(d-1) \cdot 2 } = 4 ^{2d- 2 }$

Report an Error

Example Question #412 : Gmat Quantitative Reasoning

A square plot of land has area 256 square yards. Give its perimeter in inches.

Possible Answers:

$4,608 \textrm{ in}$

$2,304 \textrm{ in}$

$2,592\textrm{ in}$

$1,296 \textrm{ in}$

$1,152 \textrm{ in}$

Correct answer:

$2,304 \textrm{ in}$

Explanation:

The sidelength of a square is the square root of its area - in this case, $\sqrt{256} = 16$ yards. Its perimeter is therefore four times that, or $16 \times 4 = 64$ yards. Multiply by 36 to convert to inches:

$64 \times36 = 2,304$ inches.

Report an Error

Example Question #413 : Gmat Quantitative Reasoning

Five squares have sidelengths 3, 4, 5, 6, and 7 meters. What is the mean of their perimeters?

Possible Answers:

$27 \textrm{ m}$

$25 \textrm{ m}$

$10 \textrm{ m}$

$16 \textrm{ m}$

$20 \textrm{ m}$

Correct answer:

$20 \textrm{ m}$

Explanation:

Multiply each sidelength by four to get the perimeters - they will be 12, 16, 20, 24, and 28 meters, respectively. The mean will be

$\left (12+ 16 + 20 + 24 + 28 \right ) \div 5 = 100 \div 5 = 20$ meters

Report an Error

Example Question #2 : Calculating The Perimeter Of A Square

Given Square FGHI , answer the following questions.

Square1

Square FGHI represents a small field for a farmer's sheep. How many meters of fence will the farmer require to completely enclose the field?

Possible Answers:

$225\:m$

$60\:m$

$45\:m$

$30\:m$

$120\:m$

Correct answer:

$60\:m$

Explanation:

This question is a thinly veiled perimeter of a square question. To find the total amount of fencing needed, use the following formula:

P=4*s

Where is the perimeter of a square, and is the length of one side.

$P=4*15\:meters=60 \:meters$

Report an Error

Example Question #3 : Calculating The Perimeter Of A Square

A given square has a side length of 7cm . What is its perimeter?

Possible Answers:

Not enough information provided

28cm

49cm

$28cm^{2}$

$49cm^{2}$

Correct answer:

28cm

Explanation:

In order to find the perimeter of a given square with side length , we use the equation P=4s . Given s=7cm , we can therefore conclude that P=4(7cm)=28cm .

Report an Error

Example Question #2 : Calculating The Perimeter Of A Square

A given square has an area of . What is its perimeter?

Possible Answers:

128

Not enough information provided

Correct answer:

Explanation:

We are told that the area of the square is . We know the area of a square is defined as $A=s^{2}$ , where is the length of the side of the square. We can therefore deduce that $64=s^{2}$ and that s=8 .

In order to find the perimeter of a given square with side length , we use the equation P=4s . Given s=8 , we can therefore conclude that P=4(8)=32 .

Report an Error

Example Question #4 : Calculating The Perimeter Of A Square

A given square has a side of length 19cm . What is the perimeter of the square?

Possible Answers:

$76cm^{2}$

361cm

Not enough information provided

$361cm^{2}$

76cm

Correct answer:

76cm

Explanation:

In order to find the perimeter of a given square with side length , we use the equation P=4s . Given s=19cm , we can therefore conclude that P=4(19cm)=76cm .

Report an Error

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Philadelphia, ISEE Tutors in New York City, Calculus Tutors in Los Angeles, Math Tutors in Boston, Spanish Tutors in San Diego, Chemistry Tutors in San Diego, Physics Tutors in New York City, ISEE Tutors in Los Angeles, Algebra Tutors in Los Angeles, Reading Tutors in Los Angeles

Popular Courses & Classes

ACT Courses & Classes in Los Angeles, ACT Courses & Classes in Boston, LSAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Washington DC, GMAT Courses & Classes in Los Angeles, ACT Courses & Classes in San Diego, SSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Boston, SSAT Courses & Classes in Boston, SSAT Courses & Classes in New York City

Popular Test Prep

ISEE Test Prep in Houston, LSAT Test Prep in Miami, ACT Test Prep in Boston, ACT Test Prep in Houston, GRE Test Prep in Dallas Fort Worth, ISEE Test Prep in Chicago, SAT Test Prep in Washington DC, SSAT Test Prep in New York City, LSAT Test Prep in San Diego, LSAT Test Prep in New York City

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)

Email address:
Your name:
Feedback:

GMAT Math : GMAT Quantitative Reasoning

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #11 : Calculating The Area Of A Square

Example Question #15 : Calculating The Area Of A Square

Example Question #11 : Calculating The Area Of A Square

Example Question #411 : Gmat Quantitative Reasoning

Example Question #412 : Gmat Quantitative Reasoning

Example Question #413 : Gmat Quantitative Reasoning

Example Question #2 : Calculating The Perimeter Of A Square

Example Question #3 : Calculating The Perimeter Of A Square

Example Question #2 : Calculating The Perimeter Of A Square

Example Question #4 : Calculating The Perimeter Of A Square

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details