We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : How to find the area of a square

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

Example Question #21 : Squares

The sides of a square garden are 10 feet long. What is the area of the garden?

Possible Answers:

$40ft^{2}$

100ft^2

$140 ft^{2}$

$110ft^{2}$

$20ft^{2}$

Correct answer:

100ft^2

Explanation:

The formula for the area of a square is

$Area = s^{2}$

where is the length of the sides. So the solution can be found by

$Area=(10)^{2}=100 ft^{2}$

Report an Error

Example Question #21 : Squares

The length of line in the figure below is 15 inches. What is the area of the square ABCD ?

Square_diagonal

Possible Answers:

$225\ in^{2}$

$112.5\ in^{2}$

$60\ in^{2}$

Cannot be determined

$30\ in^{2}$

Correct answer:

$225\ in^{2}$

Explanation:

Since ABCD is a square, the side is the same length as all of the other three sides.

We get area by multiplying length by width (or base by height, if you prefer), since all sides are equal, it looks like this:

$15\times15=225$

Don't forget, the units are SQUARE INCHES.

Report an Error

Example Question #1 : 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:

$16 - 2\pi$

$16 - 4\pi$

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 #31 : Squares

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 #2 : 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:

216

2.45

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 #3 : 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:

$13\ m^{2}$

$26\ m^{2}$

$169\ m^{2}$

$169\ m$

$13\ miles$

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 #4 : How To Find The Area Of A Square

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

Possible Answers:

$16\text{ mm}^2$

$8\text{ mm}^2$

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

$20\text{ mm}^2$

$4\text{ mm}^2$

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 #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

View Tutors

George
Certified Tutor

Pensacola State College, Bachelor in Arts, Mathematics.

View Tutors

Krittika
Certified Tutor

University of Dhaka, Master's/Graduate, Statistics. University of Waterloo, Master's/Graduate, Biostatistics.

View Tutors

Jordan
Certified Tutor

University of Maryland-College Park, Bachelor of Science, Physics. University of Maryland-College Park, Bachelor in Arts, Ger...

All Basic Geometry Resources

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

Popular Subjects

Math Tutors in Miami, Physics Tutors in Atlanta, Algebra Tutors in Miami, Biology Tutors in San Francisco-Bay Area, Calculus Tutors in New York City, French Tutors in New York City, Algebra Tutors in Philadelphia, ACT Tutors in Houston, Spanish Tutors in Denver, SAT Tutors in Denver

Popular Courses & Classes

Spanish Courses & Classes in San Diego, ACT Courses & Classes in Seattle, ACT Courses & Classes in Miami, ISEE Courses & Classes in Seattle, SSAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Denver, SAT Courses & Classes in Chicago, LSAT Courses & Classes in Boston, LSAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

SAT Test Prep in Miami, ACT Test Prep in San Diego, ISEE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Washington DC, SAT Test Prep in Boston, SAT Test Prep in Philadelphia, ISEE Test Prep in Miami, MCAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Seattle, GMAT Test Prep in Miami

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 : How to find the area of a square

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #21 : Squares

Example Question #21 : Squares

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

Example Question #31 : Squares

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

Example Question #3 : How To Find The Area Of A Square

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

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

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: