We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : Quadrilaterals

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

← Previous 1 2 3 4 5 6 7 8 9 Next →

Example Question #1 : How To Find The Perimeter Of A Rectangle

Your geometry book has a rectangular front cover which is 12 inches by 8 inches.

What is the perimeter of your book cover?

Possible Answers:

80 in^2

40 in^2

40 in

42 in

Correct answer:

40 in

Explanation:

Your geometry book has a rectangular front cover which is 12 inches by 8 inches.

What is the perimeter of your book cover?

Perimeter is the distance around the outside of a shape.

Perimeter of a rectangle can be found via the following:

$P_{rectangle}=2l+2w$

Plug in our length and width to find our answer:

P=2(12in)+2(8in)=24in+16in=40in

Report an Error

Example Question #3 : How To Find The Perimeter Of A Rectangle

Your aunt and uncle live on a rectangular plot of land out in the countryside. The width of their plot is $\frac{3}{4}$ of a kilometer long. The length is twice the width. What is the total length of the perimeter of the plot of land?

Possible Answers:

3.6 km

2.25 km

4.5 km

6 km

Correct answer:

4.5 km

Explanation:

Begin by finding both the width and length.

We are told that the width is $\frac{3}{4}$ of a kilometer

Further, we are told that the length is twice the width. Write this as an equation and solve:

$l=2w=2\frac{3}{4}=\frac{6}{4}=1\frac{1}{2}$

Now, find the perimeter via the following:

$P=2l+2w\rightarrow 2(\frac{3}{4}km)+ 2(\frac{3}{2}km)=1\frac{1}{2}km+3km=4.5km$

So, our perimeter is 4.5 km

Report an Error

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

The area of a rectangle is 100 square inches. What is the width of the rectangle?

Possible Answers:

Cannot be determined

$10\ in$

$20\ in$

$4\ in$

$25\ in$

Correct answer:

Cannot be determined

Explanation:

Without more information we cannot determine the width of a rectangle based on its area alone.

If we know this is a square and therefore that all sides are equal, we could simply take the square root of 100, which is 10.

However, we do not know that all sides are equal. We need to know the length of the rectangle to solve this problem. Therefore the best we can do is see what the equation would look like if we knew the length.

$w\times l=100$

$w=\frac{100}{l}$

where is the width and is the length.

Note: the incorrect answer choices are all factors of 100 and possible answers, but we can't be sure which, if any, are the right one.

Report an Error

Example Question #312 : Geometry

The area of a rectangle is 40; its width is s + 5 . Which of the following expressions is equal to the length of the rectangle?

Possible Answers:

35 -s

15 -s

$\frac{40}{s + 5}$

$\frac{35}{s}$

Correct answer:

$\frac{40}{s + 5}$

Explanation:

Let be the length. The area of the rectangle is A = LW . Replace A = 40,W = s + 5 and solve for :

$L \left ( s+5 \right ) = 40$

$L \left ( s+5 \right ) \div \left ( s+5 \right ) = 40 \div \left ( s+5 \right )$

$L = \frac{40}{s + 5}$

Report an Error

Example Question #313 : Geometry

The perimeter of a rectangle is 70; its width is t + 16 . Which of the following expressions is equal to the length of the rectangle?

Possible Answers:

$\frac{70}{t+16}$

19 - t

54- t

$\frac{54}{t }$

Correct answer:

19 - t

Explanation:

Let be the length. The perimeter of the rectangle is P = 2L + 2W .

Replace A = 70,W = t+16 and solve for :

P = 2L + 2W

$2L + 2 \left ( t+16 \right ) = 70$

2L + 2t+32 = 70

2L + 2t+32 -32 -2t = 70 -32 -2t

2L =38 -2t

$2L \div 2 =\left ( 38 -2t \right ) \div 2$

L = 19 - t

Report an Error

Example Question #314 : Geometry

A rectangle has perimeter 56. Its length is 3x - 8 ; give its width in terms of .

Possible Answers:

Insufficient information is given to answer the question.

-3x + 36

-3x + 64

-3x +20

-3x +16

Correct answer:

-3x + 36

Explanation:

Substitute P = 56, L = 3x-8 in the formula for the perimeter of a rectangle:

2L + 2W = P

$2 \left ( 3x-8 \right ) + 2W = 56$

$2\cdot 3x-2\cdot 8 \right ) + 2W = 56$

6x-16+ 2W = 56

6x-6x-16+ 16 + 2W = -6x + 56+16

2W = -6x + 72

$2W \div 2 =\left ( -6x + 72 \right ) \div 2$

W = -3x + 36

Report an Error

Example Question #315 : Geometry

You have a shed that you use for storing your gardening supplies and outdoor tools. If the shed has a footprint of and a width of 16 ft, what is the length of the shed? (assume the base is a rectangle)

Possible Answers:

23 ft

16.25 ft

17.75 ft

24 ft

Correct answer:

17.75 ft

Explanation:

We are given a rectangle with a known area and width, and asked to find the length.

To do so, recall this formula:

A=l*w

We know A and w, so simply work backwards to solve for l

$l=\frac{A}{w}=\frac{284ft^2}{16ft}=17.75ft$

So, our answer is 17.75 ft

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 Next →

View Tutors

Jaroslaw
Certified Tutor

Heriot Watt University, Master of Science, Physics. Heriot Watt University, Doctor of Science, Theoretical and Mathematical P...

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View Tutors

Anubhuti
Certified Tutor

KiiT University, Bachelor of Science, Electronics Technology.

All ISEE Upper Level Math Resources

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

Popular Subjects

English Tutors in San Diego, Physics Tutors in Philadelphia, Statistics Tutors in Dallas Fort Worth, Math Tutors in Los Angeles, GRE Tutors in Los Angeles, Chemistry Tutors in Boston, ISEE Tutors in Denver, Algebra Tutors in Phoenix, Physics Tutors in Atlanta, Biology Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Los Angeles, ISEE Courses & Classes in Los Angeles, GRE Courses & Classes in Chicago, MCAT Courses & Classes in Houston, GRE Courses & Classes in Washington DC, MCAT Courses & Classes in Chicago, LSAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in Boston, ISEE Courses & Classes in Chicago

Popular Test Prep

ISEE Test Prep in Washington DC, ACT Test Prep in Los Angeles, GRE Test Prep in Phoenix, MCAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Los Angeles, ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in New York City, ISEE Test Prep in Seattle, SSAT Test Prep in Atlanta, ISEE 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

ISEE Upper Level Math : Quadrilaterals

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #1 : How To Find The Perimeter Of A Rectangle

Example Question #3 : How To Find The Perimeter Of A Rectangle

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

Example Question #312 : Geometry

Example Question #313 : Geometry

Example Question #314 : Geometry

Example Question #315 : Geometry

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: