We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : How to find the area of a parallelogram

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

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : Area Of A Parallelogram

A parallelogram has the base length of and the altitude of 2t-1 . Give the area of the parallelogram.

Possible Answers:

2t^2

2t^2+t

2t^2-t

t^2+t

t^2

Correct answer:

2t^2-t

Explanation:

The area of a parallelogram is given by:

Area=ba

Where is the base length and is the corresponding altitude. So we can write:

Area=t(2t-1)=2t^2-t

Report an Error

Example Question #3 : Area Of A Parallelogram

A parallelogram has a base length of which is 3 times longer than its corresponding altitude. The area of the parallelogram is 12 square inches. Give the .

Possible Answers:

$6\sqrt{3}$

$6\sqrt{2}$

Correct answer:

Explanation:

Base length is so the corresponding altitude is $\frac{t}{3}$ .

The area of a parallelogram is given by:

Area=ba

Where:

is the length of any base
is the corresponding altitude

So we can write:

$12=t\times \frac{t}{3}\Rightarrow t\times t=12\times 3\Rightarrow t^2=36\Rightarrow t=6$

$t\times t=12\times 3$

$t^{2}=36$

t=6

Report an Error

Example Question #4 : Area Of A Parallelogram

The length of the shorter diagonal of a rhombus is 40% that of the longer diagonal. The area of the rhombus is . Give the length of the longer diagonal in terms of .

Possible Answers:

$\frac{1}{5}\sqrt{K}$

$K\sqrt{\frac{5}{2}}$

$\sqrt{\frac{5K}{2}}$

$\sqrt{5K}$

$K\sqrt{\frac{2}{5}}$

Correct answer:

$\sqrt{5K}$

Explanation:

Let be the length of the longer diagonal. Then the shorter diagonal has length 40% of this. Since 40% is equal to $\frac{40}{100 } = \frac{40 \div 20 }{100 \div 20 } = \frac{2}{5}$ , 40% of is equal to $\frac{2}{5}D$ .

The area of a rhombus is half the product of the lengths of its diagonals, so we can set up, and solve for , in the equation:

$\frac{1}{2} \cdot \frac{2}{5}D \cdot D = K$

$\frac{1}{5}D^{2}= K$

$5\cdot \frac{1}{5}D^{2}=5\cdot K$

$D^{2}=5K$

$D =\sqrt{5K}$

Report an Error

Example Question #4 : Area Of A Parallelogram

The length of the shorter diagonal of a rhombus is two-thirds that of the longer diagonal. The area of the rhombus is square yards. Give the length of the longer diagonal, in inches, in terms of .

Possible Answers:

$\sqrt{ 3Q}$

$3\sqrt{ 3Q}$

$36\sqrt{ 3Q }$

$4\sqrt{ 3Q}$

$12\sqrt{ 3Q}$

Correct answer:

$36\sqrt{ 3Q }$

Explanation:

Let be the length of the longer diagonal in yards. Then the shorter diagonal has length two-thirds of this, or $\frac{2}{3}D$ .

The area of a rhombus is half the product of the lengths of its diagonals, so we can set up the following equation and solve for :

$\frac{1}{2} \cdot \frac{2}{3}D \cdot D = Q$

$\frac{1}{3}D ^{2} = Q$

$3\cdot \frac{1}{3}D ^{2} = 3 \cdot Q$

$D ^{2} = 3Q$

$D = \sqrt{3Q}$

To convert yards to inches, multiply by 36:

$\sqrt{ 3Q } \times 36 = 36\sqrt{ 3Q }$

Report an Error

Example Question #4 : Area Of A Parallelogram

The longer diagonal of a rhombus is 20% longer than the shorter diagonal; the rhombus has area . Give the length of the shorter diagonal in terms of .

Possible Answers:

$\sqrt{ \frac{3N}{5}}$

$\sqrt{ \frac{N}{5}}$

$\sqrt{15N}$

$\sqrt{5N}$

$\sqrt{ \frac{5N}{3}}$

Correct answer:

$\sqrt{ \frac{5N}{3}}$

Explanation:

Let be the length of the shorter diagonal. If the longer diagonal is 20% longer, then it measures 120% of the length of the shorter diagonal; this is

$\frac{120}{100} = \frac{120 \div 20}{100 \div 20} = \frac{6}{5}$

of , or $\frac{6}{5}D$ .

The area of a rhombus is half the product of the lengths of its diagonals, so we can set up an equation and solve for :

$\frac{1}{2} \cdot \frac{6}{5}D \cdot D = N$

$\frac{3}{5}D^{2} = N$

$\frac{5}{3} \cdot \frac{3}{5}D^{2} = \frac{5}{3} \cdot N$

$D^{2} = \frac{5N}{3}$

$D =\sqrt{ \frac{5N}{3}}$

Report an Error

Example Question #1 : Shape Properties

Which of the following shapes is NOT a quadrilateral?

Possible Answers:

Square

Rhombus

Rectangle

Triangle

Kite

Correct answer:

Triangle

Explanation:

A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have sides is a triangle.

Report an Error

Example Question #1 : Shape Properties

What is the main difference between a square and a rectangle?

Possible Answers:

Their color

The number of sides they each have

The sum of their angles

Their angle measurments

Their side lengths

Correct answer:

Their side lengths

Explanation:

The only difference between a rectangle and a square is their side lengths. A square has to have equal side lengths, but the opposite side lengths of a rectangle only have to be equal.

Report an Error

Example Question #2 : Shape Properties

What is the main difference between a triangle and a rectangle?

Possible Answers:

The area

The length of the sides

The color

The number of sides

The volume

Correct answer:

The number of sides

Explanation:

Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has sides and a rectangle has sides.

Report an Error

Example Question #4 : How To Find The Area Of A Parallelogram

Which two shapes have to have right angles?

Possible Answers:

Rectangle and Parallelogram

Square and Rectangle

Rectangle and Rhombus

Square and Parallelogram

Square and Rhombus

Correct answer:

Square and Rectangle

Explanation:

By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.

Report an Error

Example Question #3 : Shape Properties

Which of the shapes is NOT a quadrilateral?

Possible Answers:

Square

Rhombus

Trapezoid

Hexagon

Rectangle

Correct answer:

Hexagon

Explanation:

A quadrilateral is a sided shape. The only shape listed that does not have sides is a hexagon, which has sides.

Report an Error

View SSAT- Upper Level Tutors

Rose
Certified Tutor

Texas A & M University-Corpus Christi, Associate in Science, Elementary School Teaching. Walden University, Masters in Educat...

View SSAT- Upper Level Tutors

Kevin
Certified Tutor

St. Johns University, Bachelors, Math/Coaching.

View SSAT- Upper Level Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Chicago, MCAT Tutors in Los Angeles, Physics Tutors in Boston, English Tutors in San Diego, ISEE Tutors in Atlanta, Spanish Tutors in Dallas Fort Worth, Algebra Tutors in Chicago, Computer Science Tutors in Phoenix, SSAT Tutors in Chicago, Calculus Tutors in Denver

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, SAT Courses & Classes in Washington DC, MCAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in San Diego, LSAT Courses & Classes in Houston, ACT Courses & Classes in Atlanta, LSAT Courses & Classes in Chicago, GRE Courses & Classes in Washington DC, GRE Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in New York City

Popular Test Prep

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

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 Upper Level Math : How to find the area of a parallelogram

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #2 : Area Of A Parallelogram

Example Question #3 : Area Of A Parallelogram

Example Question #4 : Area Of A Parallelogram

Example Question #4 : Area Of A Parallelogram

Example Question #4 : Area Of A Parallelogram

Example Question #1 : Shape Properties

Example Question #1 : Shape Properties

Example Question #2 : Shape Properties

Example Question #4 : How To Find The Area Of A Parallelogram

Example Question #3 : Shape Properties

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: