Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : Squares

Study concepts, example questions & explanations for Basic Geometry

Create An Account

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 … 32 33 Next →

Example Question #2 : How To Find The Area Of A Square

Point A is the center of the circle.

Figure ABCD is a square.

Segments AB and AD are radii of the circle.

The radius of the circle is units.

Find the area of the green-colored shape.

Possible Answers:

$16 - 4\pi$

$16 - 2\pi$

Correct answer:

$16 - 4\pi$

Explanation:

Square ABCD contains both the red and green shapes. The red shape is equal to the area of one-fourth of the circle. Finding the area of square ABCD and subtracting only the area of the red shape will give the area of only the green shape.

Since ABCD is a square, angle BAC is a right angle that sits at the center of the circle (point A). Since a right angle is 90^o and a circle is 360^o, the red shape's area must be one quarter (or $\frac{1}{4}$ ) of the entire circle's area. Use the equation $A = \pi r^2$ to find the area of the entire circle, then multiply this by $\frac{1}{4}$ to find the area of only the red shape.

$A_{red} = (\pi (4)^2) * (\frac{1}{4})$

$A_{red} = 4\pi$

Subtracting this from the area of the square gives the area of the green area outside of the circle.

$A_{square}=s^2=4^2=16$

$A_{green}=A_{square}-A_{red}$

$A_{green}=16-4\pi$

Report an Error

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

What is the area of the following square if the length of is $2\sqrt{2}$ ?

Possible Answers:

Correct answer:

Explanation:

We need to find the length of the side of the square in order to find the area. The diagonal makes two $45^{\circ}-45^{\circ}-90^{\circ}$ triangles with the sides of the square. Using the $45^{\circ}-45^{\circ}-90^{\circ}$ special triangle ratio of $n-n-n\sqrt{2}$ , we know that if the hypotenuse is $2\sqrt{2}$ then the length of each side must be . The area of the square is $side^{2} = 2^{^{2}} = 4$ .

Report an Error

Example Question #5 : How To Find The Area Of A Square

One side of a square is 6 inches long. What is the area of the square in inches?

Possible Answers:

2.45

216

Correct answer:

Explanation:

To find the area of a square, you only need to know one side. The length of one side squared is the area.

$6^{2}=36$

Report an Error

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

Side in the square shown below has a length of 13 meters. What is the total area of the square?

Square_diagonal

Possible Answers:

$13\ miles$

$26\ m^{2}$

$169\ m$

$13\ m^{2}$

$169\ m^{2}$

Correct answer:

$169\ m^{2}$

Explanation:

Since the shape in question is a square, we know that is the length of all four sides.

The formula for the area of a square is $area=base\times height$ .

In this case, area = $a\times a$ , or $a^{2}$ . Plug in the given value of a, 13 meters, to solve for the area:

$13^{2}=169$

Remember to use the correct units, in this square meters.

Report an Error

Example Question #7 : How To Find The Area Of A Square

Find the area of a square that has side lengths of mm.

Possible Answers:

$20\text{ mm}^2$

$16\text{ mm}^2$

$4\text{ mm}^2$

$\sqrt{32}\text{ mm}^2$

$8\text{ mm}^2$

Correct answer:

$16\text{ mm}^2$

Explanation:

The area of any square is: A=s^2 , so

$A=(4)^2=16\, mm^2$

Report an Error

Example Question #1 : 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

6/7 square units

12/14 square units

4/7 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 #2 : Squares

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

Possible Answers:

$\dpi{100} \small 81$

$\dpi{100} \small 144$

$\dpi{100} \small 100$

$\dpi{100} \small 121$

$\dpi{100} \small 88$

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 #1 : 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 #3 : Squares

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

4900

1225

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 #1 : How To Find The Area Of A Square

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:

$80\ feet^{2}$

$16,000\ feet^{2}$

$160\ feet^{2}$

$1600\ feet^{2}$

$1200\ feet^{2}$

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

← Previous 1 2 3 4 5 6 7 8 9 … 32 33 Next →

View Tutors

Abhisek
Certified Tutor

University of Florida, Bachelor of Engineering, Computer Science.

View Tutors

Cynthia
Certified Tutor

University of Mississippi, Bachelor of Education, Elementary School Teaching. University of Mississippi, Masters in Education...

View Tutors

Ping
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Computer Science. University of North Texas, Master of Arts, Education.

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Statistics Tutors in San Diego, Spanish Tutors in Seattle, Chemistry Tutors in Los Angeles, French Tutors in Denver, GMAT Tutors in Chicago, Math Tutors in San Diego, Computer Science Tutors in Dallas Fort Worth, Calculus Tutors in Miami, ACT Tutors in Washington DC, Algebra Tutors in New York City

Popular Courses & Classes

GMAT Courses & Classes in Boston, SSAT Courses & Classes in Denver, GMAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Denver, Spanish Courses & Classes in Atlanta, GRE Courses & Classes in Phoenix, Spanish Courses & Classes in New York City, ISEE Courses & Classes in San Diego, LSAT Courses & Classes in Atlanta, LSAT Courses & Classes in Philadelphia

Popular Test Prep

ACT Test Prep in Miami, LSAT Test Prep in Atlanta, GMAT Test Prep in Philadelphia, SAT Test Prep in Chicago, MCAT Test Prep in Dallas Fort Worth, MCAT Test Prep in San Francisco-Bay Area, GRE Test Prep in Dallas Fort Worth, SAT Test Prep in New York City, SAT Test Prep in Atlanta, GRE Test Prep in Philadelphia

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

Basic Geometry : Squares

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #2 : How To Find The Area Of A Square

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

Example Question #5 : How To Find The Area Of A Square

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

Example Question #7 : How To Find The Area Of A Square

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

Example Question #2 : Squares

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

Example Question #3 : Squares

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

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: