We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : Basic Geometry

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 #511 : Plane Geometry

A checkerboard has an area of $315\;cm^2$ and one of the sides has a length of $15\;cm$ . What is the length of the other side of the board?

Possible Answers:

$20\;cm$

$19\;cm$

$22\;cm$

$21\;cm$

$18\;cm$

Correct answer:

$21\;cm$

Explanation:

We can use the formula for the area of a rectangle to find the length of the side with the information provided:

$\\Area=length\cdot width\\315\;cm^2=length\cdot15\;cm\\length=\frac{315\;cm^2}{15\;cm}=21\;cm\\length=21\;cm$

Report an Error

Example Question #511 : Basic Geometry

If a graham cracker has a width of $5\;cm$ and an area of $62.5\;cm^2$ , what would be the length of the cracker?

Possible Answers:

$13\;cm$

$12.5\;cm$

$14\;cm$

$12\;cm$

$13.5\;cm$

Correct answer:

$12.5\;cm$

Explanation:

We can solve for the missing length using the formula for area of a rectangle:

$\\area=length\cdot width\\62.5\;cm^2=length\cdot5\;cm$

$length=\frac{62.5\;cm^2}{5\;cm}=12.5\;cm$

Report an Error

Example Question #511 : Basic Geometry

A rectangle has a width of 5 meters. Its length is 2.5 times the width. What is the length of the long side and the total area of this rectangle?

Possible Answers:

A=50m

L=10m

None of these.

A=80

L=15

A=75m

L=15m

A=62.5m

L=12.5m

Correct answer:

A=62.5m

L=12.5m

Explanation:

"2.5 times the width" is equivalent to 2.5w. The length of the long side is L=2.5w=2.5(5)=12.5m .

The area is A=L*W=12.5*5=62.5m^2

Report an Error

Example Question #512 : Basic Geometry

A rectangle has a perimeter of 30in . Its width is 5 in. What is the length of one long side?

Possible Answers:

L=20in

L=25in

L=5in

L=10in

None of these.

Correct answer:

L=10in

Explanation:

The perimeter of a rectangle can be found with P=2w+2l .

Fill in the information given, and solve for l:

30=2(5)+2l

30=10+2l

20=2l

$\mathbf{l=10}$

Report an Error

Example Question #511 : Plane Geometry

Brady wants create a garage with an area of 2000 square feet. He needs the garage to be 50 feet long to fit all of his equipment. How wide will the garage be?

Possible Answers:

$30\ ft$

None of the answers given are correct

$45\ ft$

$40\ ft$

$50\ ft$

Correct answer:

$40\ ft$

Explanation:

Since we have the area, and we have the length, we use the area of a rectangle formula to find the missing side length.

$length\cdot width = area$

$50\cdot width = 2000$

divide both sides by 50 to get the variable by itself

width=40 inches

Report an Error

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

A rectangle has a length of 12 in and a width of 5 in. What is the diagonal of the rectangle?

Possible Answers:

$14\; in$

$17\; in$

$16\; in$

$15\; in$

$13\; in$

Correct answer:

$13\; in$

Explanation:

To find the diagonal we use the Pythagorean Theorem:

$5^{2}+12^{2}= x^{2}$ where = hypotenuse

$25+144=x^{2}$ or $x=13\; in$

Report an Error

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

One side of a rectangle is 7 inches and another is 9 inches. How many inches long is the rectangle's diagonal?

Possible Answers:

10.2

11.4

130

Correct answer:

11.4

Explanation:

You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

$\sqrt{9^{2}+7^{2}}=11.4$

Report an Error

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

Find the length of the diagonal.

Possible Answers:

$4\sqrt{13}$

$16\sqrt{13}$

Correct answer:

$4\sqrt{13}$

Explanation:

The rectangle can be cut into two equal right triangles, where the hypotenuse of both is the rectangle's diagonal.

Use the Pythagorean Theorem to find the hypotenuse:

a^2+b^2=c^2 , where a and b are the legs and c is the hypotenuse

(12)^2 + (8)^2 = c^2

144 + 64 = c^2

208 = c^2

$\sqrt{208} = \sqrt{c^2}$

$c = 4\sqrt{13}$

Report an Error

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

A standard high school basketball court is 84 feet long and 50 feet wide. During practice, Coach K has Kyrie run from one the right corner on one end of the court to the left corner at the other end of the court. To the nearest foot, how far did Kyrie run?

Possible Answers:

98ft

104ft

93ft

134ft

87ft

Correct answer:

98ft

Explanation:

A picture helps greatly with this problem, so we begin with a rectangular basketball court.

We note that the distance run by Kyrie (drawn in red) is the diagonal of our rectangle, which we will call . We should also not that this diagonal divides our rectangle into two congruent right triangles. We can therefore find the length of our diagonal by focusing on one of these triangles and determining the hypotenuse. This can be done with the Pythagorean Theorem, which gives us:

50^2+84^2=k^2

2500+7056=k^2

9556=k^2

Taking the square root gives us

k=97.754795...

Rounding to the nearest foot gives an answer of 98.

Report an Error

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

A rectangle has a height of and a base of . What is the length of its diagonal rounded to the nearest tenth?

Possible Answers:

12.2

24.4

19.5

30.5

28.4

Correct answer:

24.4

Explanation:

1. Use Pythagorean Theorem with a=14 and b=20 .

$a^{2}+b^{2}=c^{2}$

$14^{2}+20^{2}=c^{2}$

2. Solve for , the length of the diagonal:

$14^{2}+20^{2}=c^{2}$

$196+400=c^{2}$

$596=c^{2}$

c=24.41

This rounds down to 24.4 because the hundredth's place () is less than .

Report an Error

View Tutors

Sally
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Art Teacher Education. Temple University, Masters in Educatio...

View Tutors

Robert
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, English. North Carolina Central University, Master of Arts, En...

View Tutors

David
Certified Tutor

Lake Erie College, Bachelor of Science, Chemistry. Case Western Reserve University, Master of Social Work, Social Work.

All Basic Geometry Resources

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

Popular Subjects

LSAT Tutors in Washington DC, Algebra Tutors in Chicago, Computer Science Tutors in Houston, GMAT Tutors in Boston, Spanish Tutors in Philadelphia, GRE Tutors in Boston, Reading Tutors in San Diego, Chemistry Tutors in Phoenix, MCAT Tutors in Philadelphia, Math Tutors in Chicago

Popular Courses & Classes

Spanish Courses & Classes in Los Angeles, MCAT Courses & Classes in Atlanta, GMAT Courses & Classes in Seattle, Spanish Courses & Classes in Houston, LSAT Courses & Classes in New York City, Spanish Courses & Classes in Miami, LSAT Courses & Classes in Chicago, ACT Courses & Classes in Denver, SSAT Courses & Classes in San Diego, LSAT Courses & Classes in Houston

Popular Test Prep

ACT Test Prep in Houston, LSAT Test Prep in Washington DC, MCAT Test Prep in Miami, GRE Test Prep in Seattle, MCAT Test Prep in Atlanta, ISEE Test Prep in Los Angeles, MCAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Miami, GMAT Test Prep in Atlanta, SAT Test Prep in Boston

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 : Basic Geometry

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #511 : Plane Geometry

Example Question #511 : Basic Geometry

Example Question #511 : Basic Geometry

Example Question #512 : Basic Geometry

Example Question #511 : Plane Geometry

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: