Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : Geometry

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

Create An Account

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : How To Find The Perimeter Of A Rectangle

Rectangle

Give the perimeter of the rectangle in the above diagram.

Possible Answers:

$52 \frac{2}{5} \textrm{ in}$

$84 \textrm{ in}$

$26 \frac{1}{5} \textrm{ in}$

$13 \frac{1}{10} \textrm{ in}$

$42 \textrm{ in}$

Correct answer:

$26 \frac{1}{5} \textrm{ in}$

Explanation:

The perimeter of a rectangle can be calculated by multiplying two by the sum of the length and width of the rectangle.

$2\left ( 7 \frac{1}{2} +5 \frac{3}{5} \right )$

$=2 \left (\frac{7 \cdot 2 + 1}{2} + \frac{5\cdot 5 + 3}{5} \right )$

$= 2 \left (\frac{15}{2} + \frac{28}{5} \right )$

$= 2 \left (\frac{15 \times 5}{2 \times 5} + \frac{2 \times28}{2 \times5} \right )$

$= 2 \left (\frac{75}{10} + \frac{56}{10} \right ) = \frac{2}{1} \cdot \frac{131}{10} = \frac{131}{5} = 26 \frac{1}{5}$

The perimeter of the rectangle is $26 \frac{1}{5}$ inches.

Report an Error

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

Rectangle_1

Figure NOT drawn to scale.

Give the perimeter of the green polygon in the above figure.

Possible Answers:

190

230

380

260

The perimeter cannot be determined from the information given.

Correct answer:

230

Explanation:

Since opposite sides of a rectangle have the same measure, the missing sidelengths can be calculated as in the diagram below:

Rectangle_2

The sidelengths of the green polygon can now be added to find the perimeter:

P= 35 +60 + 35 + 15 + 20 + 30 + 20 + 15 = 230

Report an Error

Example Question #4 : How To Find The Perimeter Of A Rectangle

The width of a rectangle is one-third of its length. If the width is given as what is the perimeter of the rectangle in terms of ?

Possible Answers:

$2w+\frac{1}{3}w$

Correct answer:

Explanation:

The perimeter of a rectangle is the sum of its sides.

The sum of the widths is and since the width is one-third of the length, each length is . Since there are lengths we get a total of . Widths + lengths = 2w + 6w = 8w

Report an Error

Example Question #212 : Plane Geometry

You are given equilateral triangle $\Delta ABC$ and Rectangle ACDE

with AB = 25, CD = 40 .

What is the perimeter of Rectangle ACDE ?

Possible Answers:

160

115

130

180

Correct answer:

130

Explanation:

$\Delta ABC$ is equilateral, so AC = AB = 25 .

Also, since opposite sides of a rectangle are congruent,

DE = AC = 25 and AE = CD = 40

The perimeter of Rectangle ACDE is

AC + CD +DE + AE = 25 + 40 + 25 + 40 = 130

Report an Error

Example Question #211 : Plane Geometry

A hectare is a unit of area equal to 10,000 square meters.

A 150-hectare plot of land is rectangular and is 1.2 kilometers in width. Give the perimeter of this land.

Possible Answers:

$5.4 \textrm{ km}$

$4.9 \textrm{ km}$

$2.45 \textrm{ km}$

$2.7 \textrm{ km}$

Correct answer:

$4.9 \textrm{ km}$

Explanation:

150 hectares is equal to $150 \times 10,000 = 1,500,000$ square meters.

The width of this land is 1.2 kilometers, or $1.2 \times 1,000 =1,200$ meters. Divide the area by the width to get:

$1,500,000 \div 1,200 = 1,250$ meters

The perimeter of the land is

$2 \left ( 1,200 + 1,250\right ) = 4,900$ meters, or $4,900 \div 1,000 = 4.9$ kilometers.

Report an Error

Example Question #4 : Rectangles

The length of a rectangle is two times as long as the width. The width is equal to inches. What is the perimeter of the rectangle?

Possible Answers:

$\small 32\ in$

$\small 40\ in$

$\small 24\ in$

$\small 16\ in$

Correct answer:

$\small 24\ in$

Explanation:

l=2w=2(4)=8

P=l+w+l+w=2l+2w=2(8)+2(4)=16+8=24

Report an Error

Example Question #6 : How To Find The Perimeter Of A Rectangle

How many meters of fence are needed to enclose a rectangular field that has a length of 1000 meters and a width of 100 meters?

Possible Answers:

$100,000\ meters$

$10,000\ meters$

$2200\ meters$

$2000\ meters$

$1100\ meters$

Correct answer:

$2200\ meters$

Explanation:

The perimeter of a rectangle is simply the sum of the four sides:

$1000+1000+100+100=2200\; meters$

Report an Error

Example Question #31 : Quadrilaterals

The perimeter of a rectangle with a length of 10x and a width of is $64\ in$ . Find .

Possible Answers:

Correct answer:

Explanation:

We know that:

Perimeter=2(a+b)

where:

$a=Length \ of\ the\ rectangle$

$b= Width\ of\ the\ rectangle$

So we can write:

$64=2(10x+6x)\Rightarrow 10x+6x=32\Rightarrow 16x=32\Rightarrow x=2$

Report an Error

Example Question #5 : How To Find The Perimeter Of The Rectangle

Rectangles

Note: Figure NOT drawn to scale.

Refer to the above diagram. Give the perimeter of the red polygon.

Possible Answers:

120

140

240

340

The perimeter cannot be determined from the information given.

Correct answer:

240

Explanation:

Since opposite sides of a rectangle have the same measure, the missing sidelengths can be calculated as in the diagram below:

Rectangles

The sidelengths of the red polygon can now be added to find the perimeter:

40 + 80 + 20 + 30 + 20 + 50 = 240

Report an Error

Example Question #125 : Quadrilaterals

The width of a rectangle is , the length is , and the perimeter is 72. What is the value of ?

Possible Answers:

Correct answer:

Explanation:

Start with the equation for the perimeter of a rectangle:

P=l+l+w+w=2l+2w

We know the perimeter is 72, the length is , and the width is . Plug these values into our equation.

72=2(6x)+2(3x)

Multiply and combine like terms.

72=12x+6x

72=18x

Divide by 18 to isolate the variable.

$\frac{72}{18}=x$

Simplify the fraction by removing the common factor.

$\frac{72}{18}=\frac{72\div18}{18\div18}=\frac{4}{1}=4$

Report an Error

View SSAT- Middle Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View SSAT- Middle Level Tutors

Kaitlyn
Certified Tutor

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

View SSAT- Middle Level Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Phoenix, GRE Tutors in Phoenix, GMAT Tutors in Phoenix, Calculus Tutors in San Diego, Statistics Tutors in Denver, SAT Tutors in San Francisco-Bay Area, French Tutors in New York City, Physics Tutors in Washington DC, GMAT Tutors in Los Angeles, Statistics Tutors in Boston

Popular Courses & Classes

Spanish Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Boston, ISEE Courses & Classes in Denver, MCAT Courses & Classes in Atlanta, GMAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Houston, ISEE Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Washington DC, Spanish Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Seattle

Popular Test Prep

GRE Test Prep in Atlanta, GRE Test Prep in Washington DC, LSAT Test Prep in Los Angeles, GRE Test Prep in Philadelphia, LSAT Test Prep in Phoenix, ACT Test Prep in Boston, SSAT Test Prep in San Diego, GRE Test Prep in Seattle, SSAT Test Prep in Los Angeles, ISEE Test Prep in Houston

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

SSAT Middle Level Math : Geometry

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #2 : How To Find The Perimeter Of A Rectangle

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

Example Question #4 : How To Find The Perimeter Of A Rectangle

Example Question #212 : Plane Geometry

Example Question #211 : Plane Geometry

Example Question #4 : Rectangles

Example Question #6 : How To Find The Perimeter Of A Rectangle

Example Question #31 : Quadrilaterals

Example Question #5 : How To Find The Perimeter Of The Rectangle

Example Question #125 : Quadrilaterals

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: