GMAT Math : Calculating the area of a rectangle

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

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

Example Questions

Example Question #371 : Problem Solving Questions

The area of a square that has sides with a length of 12 inches is equal to the area of a rectangle. If the rectangle has a width of 3 inches, what is the length of the rectangle?

Possible Answers:

$\dpi{100} \small 12in.$

$\dpi{100} \small 36in.$

$\dpi{100} \small 48in.$

$\dpi{100} \small 40in.$

$\dpi{100} \small 24in.$

Correct answer:

$\dpi{100} \small 48in.$

Explanation:

If the area of the rectangle is equal to the area of the square, then it must have an area of $\dpi{100} \small 144in^{2}$ $\dpi{100} \small (12\times 12)$ . If the rectangle has an area of $\dpi{100} \small 144 in^{2}$ and a side with a lenth of 3 inches, then the equation to solve the problem would be $\dpi{100} \small 144=3x$ , where $\dpi{100} \small x$ is the length of the rectangle. The solution:

$\frac{144}{3} = 48$ .

Report an Error

Example Question #1 : Calculating The Area Of A Rectangle

A rectangle twice as long as it is wide has perimeter 6N - 12 . Write its area in terms of .

Possible Answers:

$4N^{2} -16N + 16$

$N^{2} -4N + 4$

$2N^{2} -8N + 8$

$2N^{2} -6N + 4$

$N^{2} -3N + 2$

Correct answer:

$2N^{2} -8N + 8$

Explanation:

Let be the width of the rectangle; then its length is L = 2W , and its perimeter is

2W + 2 (2W) = 2W + 4W = 6W

Set this equal to 6N - 12 and solve for :

6W = 6N - 12

$\frac{6W}{6} =\frac{ 6N-12}{6}$

W = N - 2

The width is W = N - 2 and the length is $L = 2W = 2 \left (N - 2 \right ) = 2N - 4$ , so multiply these expressions to get the area:

$A = LW = (N-2) \cdot \left (2N-4 \right ) = 2N^{2} -8N + 8$

Report an Error

Example Question #2 : Calculating The Area Of A Rectangle

A rectangle has its vertices at (-4,-3), (-4,7), (1,7), (1,-3) . What part, in percent, of the rectangle is located in Quadrant III?

Possible Answers:

$21 \%$

$12\%$

$14 \%$

$28 \%$

$24 \%$

Correct answer:

$24 \%$

Explanation:

A rectangle with vertices (-4,-3), (-4,7), (1,7), (1,-3) has width 1 - (-4) = 5 and height 7 - (-3) = 10 , thereby having area $10 \times 5 = 50$ .

The portion of the rectangle in Quadrant III is a rectangle with vertices

(-4,-3), (-4,0), (0,0), (0,-3) .

It has width 0-(-4) = 4 and height 0-(-3) = 3 , thereby having area $4 \times 3 = 12$ .

Therefore, $\frac{12}{50 }$ of the rectangle is in Quadrant III; this is equal to

$\frac{12}{50 } \times 100 = 24 \%$

Report an Error

Example Question #141 : Geometry

What is the area of a rectangle given the length of and width of ?

Possible Answers:

0.5

Correct answer:

Explanation:

To find the area of a rectangle, you must use the following formula:

A=lw

A=(10)(5)

A=50

Report an Error

Example Question #1 : Calculating The Area Of A Rectangle

What polynomial represents the area of a rectangle with length A + 4 and width A - 4 ?

Possible Answers:

$A ^{2} + 16$

$A ^{2} - 16$

$A ^{2} -8A + 16$

Correct answer:

$A ^{2} - 16$

Explanation:

The area of a rectangle is the product of the length and the width. The expression (A+4)(A-4) can be multplied by noting that this is the product of the sum and the difference of the same two terms; its product is the difference of the squares of the terms, or

$(A+4)(A-4) = A^{2}-4^{2}= A^{2}-16$

Report an Error

Example Question #1 : Calculating The Area Of A Rectangle

A rectangle has its vertices at (-4,-3), (-4,7), (1,7), (1,-3) . What percentage of the rectangle is located in Quadrant IV?

Possible Answers:

$2 \%$

$4 \%$

$6 \%$

$5\%$

$3\%$

Correct answer:

$6 \%$

Explanation:

A rectangle with vertices (-4,-3), (-4,7), (1,7), (1,-3) has width 1 - (-4) = 5 and height 7 - (-3) = 10 ; it follows that its area is $10 \times 5 = 50$ .

The portion of the rectangle in Quadrant IV has vertices (0,0),(1,0), (1, -3), (0, -3) . Its width is 1-0 = 1 , and its height is 0- (-3 ) = 3 , so its area is $1 \times 3 = 3$ .

Therefore, $\frac{3}{50 }$ , or $\frac{3}{50} \times 100 \% = 6\%$ , of this rectangle is in Quadrant IV.

Report an Error

Example Question #6 : Calculating The Area Of A Rectangle

The perimeter of a rectangle is $104\textup{ inches}$ and its length is times the width. What is the area?

Possible Answers:

$52\textup{ in}^2$

$208\textup{in}^{3}$

$10816\textup{ in}^2$

$208\textup{ in}^2$

$507\textup{ in}^2$

Correct answer:

$507\textup{ in}^2$

Explanation:

The perimeter of a rectangle is the sum of all four sides, that is: 104= 2l + 2w

since l=3w , we can rewrite the equation as:

104= 2(3w) + 2w

104= 8w

$w=13\textup{ in}$

We are being asked for the area so we still aren't done. The area of a rectangle is the product of the width and length. We know what the width is so we can find the length and then take their product.

$l=3w=3(13)=39\textup{ in}$

$A= l \cdot w = 39 \cdot 13$

$A = 507\textup{ in}^2$

Report an Error

Example Question #8 : Calculating The Area Of A Rectangle

Mark is building a garden with raised beds. One side of the garden will be 10 feet long and the other will be 5 less than three times the first side. What area of will Mark's garden be?

Possible Answers:

300ft^2

25ft^2

250ft^2

30ft^2

Correct answer:

250ft^2

Explanation:

Mark is building a garden with raised beds. One side of the garden will be 10 feet long and the other will be 5 less than three times the first side. What area of will Mark's garden be?

This problem asks us to find the area of a rectangle. We are given one side and asked to find the other. To find the other, we need to use the provided clues.

"...five less..."

"...three times the first side..." or 3(10)

So put it together:

3(10)-5=30-5=25ft

Next, find the area via the following formula:

A=l*w=25ft*10ft=250ft^2

So our answer is:

250ft^2

Report an Error

Example Question #142 : Geometry

Find the area of a rectangle whose side lengths are $7\textup{ and }9$ .

Possible Answers:

Correct answer:

Explanation:

To calculate area, multiply width times height. Thus,

7*9=63

Report an Error

Example Question #2 : Calculating The Area Of A Rectangle

Find the area of a rectangle whose width is and length is .

Possible Answers:

4x+4y

2x+2y

2xy

4xy

Correct answer:

4xy

Explanation:

To find area, simply multiply length times width. Thus

$2x\cdot2y=4xy$

Report an Error

All GMAT Math Resources

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

Popular Subjects

Physics Tutors in Los Angeles, MCAT Tutors in San Diego, SSAT Tutors in Seattle, ACT Tutors in Phoenix, SAT Tutors in Washington DC, Calculus Tutors in San Francisco-Bay Area, Algebra Tutors in San Diego, Calculus Tutors in Boston, Chemistry Tutors in San Diego, Computer Science Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Phoenix, Spanish Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in New York City, GRE Courses & Classes in Phoenix, SSAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Atlanta, ACT Courses & Classes in Phoenix, GRE Courses & Classes in Boston, SAT Courses & Classes in Atlanta

Popular Test Prep

GRE Test Prep in Phoenix, SSAT Test Prep in Phoenix, GMAT Test Prep in San Diego, MCAT Test Prep in Los Angeles, LSAT Test Prep in Houston, GMAT Test Prep in Houston, MCAT Test Prep in New York City, ACT Test Prep in Phoenix, GMAT Test Prep in Phoenix, SAT Test Prep in Los Angeles

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 : Calculating the area of a rectangle

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #371 : Problem Solving Questions

Example Question #1 : Calculating The Area Of A Rectangle

Example Question #2 : Calculating The Area Of A Rectangle

Example Question #141 : Geometry

Example Question #1 : Calculating The Area Of A Rectangle

Example Question #1 : Calculating The Area Of A Rectangle

Example Question #6 : Calculating The Area Of A Rectangle

Example Question #8 : Calculating The Area Of A Rectangle

Example Question #142 : Geometry

Example Question #2 : Calculating The Area Of A Rectangle

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details