We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Quadrilaterals

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 #2 : Squares

Find the length of a diagonal of a square whose side length is .

Possible Answers:

$\sqrt{2}$

Correct answer:

$\sqrt{2}$

Explanation:

To solve, simply remember that the diagonal forms an isoceles right triangle. Thus, the diagonal is:

$x\sqrt2=1*\sqrt2=\sqrt2$

Report an Error

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

How much more area does a square with a side of 2r have than a circle with a radius r? Approximate π by using 22/7.

Possible Answers:

1/7 square units

4/7 square units

6/7 square units

12/14 square units

Correct answer:

6/7 square units

Explanation:

The area of a circle is given by A = πr² or 22/7r²

The area of a square is given by A = s² or (2r)² = 4r²

Then subtract the area of the circle from the area of the square and get 6/7 square units.

Report an Error

Example Question #33 : Squares

If the perimeter of a square is 44 centimeters, what is the area of the square in square centimeters?

Possible Answers:

$\dpi{100} \small 144$

$\dpi{100} \small 88$

$\dpi{100} \small 81$

$\dpi{100} \small 121$

$\dpi{100} \small 100$

Correct answer:

$\dpi{100} \small 121$

Explanation:

Since the square's perimeter is 44, then each side is $\dpi{100} \small \frac{44}{4}=11$ .

Then in order to find the area, use the definition that the

$\dpi{100} \small Area=side^{2}$

$\dpi{100} \small 11^{2}=121$

Report an Error

Example Question #6 : How To Find The Area Of A Square

Midpointsquare

Given square ABCD , with midpoints on each side connected to form a new, smaller square. How many times bigger is the area of the larger square than the smaller square?

Possible Answers:

$2\sqrt{2}$

$\frac{\sqrt{2}}{2}$

$\sqrt{2}$

Correct answer:

Explanation:

Assume that the length of each midpoint is 1. This means that the length of each side of the large square is 2, so the area of the larger square is 4 square units. $A=s^{2}$

To find the area of the smaller square, first find the length of each side. Because the length of each midpoint is 1, each side of the smaller square is $\sqrt{2}$ (use either the Pythagorean Theorem or notice that these right trianges are isoceles right trianges, so $s, s, s\sqrt{2}$ can be used).

The area then of the smaller square is 2 square units.

Comparing the area of the two squares, the larger square is 2 times larger than the smaller square.

Report an Error

Example Question #11 : How To Find The Area Of A Square

If a completely fenced-in square-shaped yard requires 140 feet of fence, what is the area, in square feet, of the lot?

Possible Answers:

140

1225

4900

Correct answer:

1225

Explanation:

Since the yard is square in shape, we can divide the perimeter(140ft) by 4, giving us 35ft for each side. We then square 35 to give us the area, 1225 feet.

Report an Error

Example Question #391 : Plane Geometry

The perimeter of a square is $\textup{in}$ . What is its area?

Possible Answers:

175.25 $\textup{in}^2$

156.25 $\textup{in}^2$

125 $\textup{in}^2$

144 $\textup{in}^2$

$\textup{Not enough information provided}$

Correct answer:

156.25 $\textup{in}^2$

Explanation:

The perimeter of a square is very easy to calculate. Since all of the sides are the same in length, it is merely:

4s=p

4s=50

s=12.5

From this, you can calculate the area merely by squaring the side's value:

A = 12.5^2=156.25 $\textup{in}^2$

Report an Error

Example Question #1 : How To Find The Area Of A Square

What is the area of a square with a side length of $14\textup{yd}$ ?

Possible Answers:

196 $\textup{yd}^2$

$\textup{yd}^2$

144 $\textup{yd}^2$

$\textup{yd}^2$

Correct answer:

196 $\textup{yd}^2$

Explanation:

The area of a square is very easy. You merely need to square the length of any given side. That is, the area is defined as:

A=s^2

For our data, this is:

A=14^2=196

Report an Error

Example Question #1 : How To Find The Area Of A Square

What is the area of a square with a perimeter of ft?

Possible Answers:

144ft

576ft^2

144ft^2

48ft^2

Not enough information is given.

Correct answer:

144ft^2

Explanation:

For a square all the sides are equal, and there are four sides, so divide the perimeter by 4 to determine the side length.

s = 48/4 = 12 .

Next to find the area of a square, square the side length:

A = s^2 = 12^2 = 144ft^2 .

Don't forget your units!

Report an Error

Example Question #34 : Squares

Eric has 160 feet of fence for a parking lot he manages. If he is using all of the fencing, what is the area of the lot assuming it is square?

Possible Answers:

$1200\ feet^{2}$

$16,000\ feet^{2}$

$1600\ feet^{2}$

$80\ feet^{2}$

$160\ feet^{2}$

Correct answer:

$1600\ feet^{2}$

Explanation:

The area of a square is equal to its length times its width, so we need to figure out how long each side of the parking lot is. Since a square has four sides we calculate each side by dividing its perimeter by four.

$\frac{160}{4}=40$

Each side of the square lot will use 40 feet of fence.

$Area=length \times width$

Report an Error

Example Question #6 : How To Find The Area Of A Square

A square garden is inscribed inside a circular cobblestone path. If the radius of the cobblestone path is feet, what is the area of the garden?

Possible Answers:

2500ft^2

5000ft^2

4050ft^2

3850ft^2

2700ft^2

Correct answer:

4050ft^2

Explanation:

If a square is inscribed inside a circle, the diameter of the circle is the diagonal of the square. Since we know the radius of the circle is feet, the diameter must be feet. Thus, the diagonal of the square garden is feet.

All squares have congruent sides; thus, the diagonal of a square creates two isosceles right triangles. The ratio of the lengths of the sides of an isosceles right triangle are $x: x: x\sqrt2$ , where $x\sqrt2$ is the hypotenuse. Thus, to find the length of a side of a square from the diagonal, we must divide by $\sqrt2$ .

$s = \frac{90}{\sqrt2} = \frac{90\sqrt2}{2} = 45\sqrt2$

The area of a square is A = s^2 , so if one side is $45\sqrt2$ , our area is

$A = s^2 = (45\sqrt2)^2 = (2025\cdot 2) = 4050$

Thus, the area of our square garden is 4050ft^2

Report an Error

View ACT Math Tutors

Angela
Certified Tutor

Saint Josephs College, Bachelor in Arts, Mathematics.

View ACT Math Tutors

Joseph
Certified Tutor

Bentley College, Bachelor of Science, Marketing. Bentley College, Master of Science, Organizational Leadership.

View ACT Math Tutors

Blair
Certified Tutor

Princeton University, Bachelors, Politics. London Business School, Masters, Business Administration and Management.

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

SAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Denver, ACT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Miami, Spanish Courses & Classes in Chicago, ISEE Courses & Classes in Atlanta, GRE Courses & Classes in Boston, GRE Courses & Classes in Miami, SAT Courses & Classes in New York City, GRE Courses & Classes in San Francisco-Bay Area

Popular Test Prep

MCAT Test Prep in Denver, ISEE Test Prep in San Francisco-Bay Area, LSAT Test Prep in Houston, GRE Test Prep in Denver, SAT Test Prep in Chicago, SSAT Test Prep in Washington DC, MCAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Washington DC, ACT Test Prep in Dallas Fort Worth, GMAT 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

ACT Math : Quadrilaterals

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #2 : Squares

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

Example Question #33 : Squares

Example Question #6 : How To Find The Area Of A Square

Example Question #11 : How To Find The Area Of A Square

Example Question #391 : Plane Geometry

Example Question #1 : How To Find The Area Of A Square

Example Question #1 : How To Find The Area Of A Square

Example Question #34 : Squares

Example Question #6 : How To Find The Area Of A Square

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: