Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to find the length of the side of a quadrilateral

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Find the length of a rectangle if the area is , and the width is 10y .

Possible Answers:

$\frac{y}{5x}$

$\frac{2y}{x}$

$\frac{5x}{y}$

$\frac{x}{2y}$

$\frac{x}{50y}$

Correct answer:

$\frac{x}{2y}$

Explanation:

Write the formula to solve the area of a rectangle.

A=LW

Substitute the dimension and area to solve for the length.

5x=L(10y)

$L=\frac{5x}{10y}=\frac{x}{2y}$

Report an Error

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

If the perimeter of a square is 12x and the area is 81x , what is the side length of the square?

Possible Answers:

108

Correct answer:

Explanation:

The square has 4 equal sides. Let's assume a side is .

4y=12x

y=3x

Each side of the square has a length of .

The area of the square is:

A=s^2= (3x)^2= 9x^2

Substitute 81x into the area to solve for .

9x^2=81x

x=9

Since one side of the square is , substitute the value of x=9 to determine the length of the square side.

y=3(9)=27

Report an Error

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

Find the side of a square if the area is 4x^2-16 .

Possible Answers:

2(x+2)

2(x-2)

2(x+2)(x-2)

$2\sqrt{x^2+4}$

$2\sqrt{x^2-4}$

Correct answer:

$2\sqrt{x^2-4}$

Explanation:

The area of a square is:

A=s^2

Substitute the area and solve for the side.

s^2 = 4x^2-16

$s=\sqrt{4x^2-16} = \sqrt{4(x^2-4)} = \sqrt4 \sqrt{x^2-4}= 2\sqrt{x^2-4}$

The quantity inside the square root may not be factorized in attempt to eliminate the square root!

The side length of the square is:

$2\sqrt{x^2-4}$

Report an Error

Example Question #4 : How To Find The Length Of The Side Of A Quadrilateral

Find the perimeter of the rhombus above.

Possible Answers:

Correct answer:

Explanation:

By definition, a rhombus is a quadrilateral with four equal sides whose angles do not all equal 90 degrees. To find the perimeter, we must find the values of x and y. In order to do so, we must set up a system of equations where we set two sides equal to each other. Any two sides can be used to create these systems.

Here is one example:

Eq. 1

2x+7=xy+1

2x+6=xy

$y=\frac{2x+6}{x}$

Eq. 2

2x+7=2(x+y)-3=2x+2y-3

10=2y

y=5

Now we plug y=5 into the first equation to find the value of :

$5=\frac{2x+6}{x}$

5x=2x+6

3x=6

$x=\frac{6}{3}=2$

Plugging these values into any of the three equations will give us the length of one side equaling 11.

Since there are four sides, 11(4)=44 .

Report an Error

View ACT Math Tutors

Andrew
Certified Tutor

University of Wisconsin-Stevens Point, Bachelor of Science, Mathematics. University of Wisconsin-Oshkosh, Master of Science, ...

View ACT Math Tutors

Quang
Certified Tutor

Georgetown University, Bachelor of Science, Finance.

View ACT Math Tutors

Alejandro
Certified Tutor

Kennesaw State University, Bachelor of Science, Computer Software Engineering.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

GMAT Courses & Classes in Phoenix, GMAT Courses & Classes in San Diego, GRE Courses & Classes in Los Angeles, GRE Courses & Classes in Miami, ISEE Courses & Classes in Seattle, MCAT Courses & Classes in Philadelphia, GRE Courses & Classes in Houston, GMAT Courses & Classes in Washington DC, ISEE Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Miami

Popular Test Prep

ISEE Test Prep in Washington DC, SAT Test Prep in Denver, SSAT Test Prep in New York City, GRE Test Prep in Los Angeles, ISEE Test Prep in San Francisco-Bay Area, LSAT Test Prep in Boston, GRE Test Prep in Chicago, ACT Test Prep in Miami, GMAT Test Prep in Washington DC, LSAT Test Prep in Denver

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

ACT Math : How to find the length of the side of a quadrilateral

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

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

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

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

Example Question #4 : How To Find The Length Of The Side Of A Quadrilateral

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: