We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Advanced Geometry : Kites

Study concepts, example questions & explanations for Advanced Geometry

Create An Account

All Advanced Geometry Resources

6 Diagnostic Tests 57 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 Next →

Example Question #21 : Quadrilaterals

If the area of the kite is 100 square units, and the difference between the lengths of the diagonals is units, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+10 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$100=\frac{x(x+10)}{2}$

x^2+10x=200

x^2+10x-200=0

(x+20)(x-10)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=10 .

The length of the shorter diagonal is units long.

Report an Error

Example Question #21 : Quadrilaterals

If the area a kite is square units, and the length of one diagonal is units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+5 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$88=\frac{x(x+5)}{2}$

x^2+5x=176

x^2+5x-176=0

(x+16)(x-11)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=11 .

The length of the shorter diagonal is units long.

Report an Error

Example Question #321 : Advanced Geometry

If the area of a kite is square units, and the length of one diagonal is units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+8 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$64=\frac{x(x+8)}{2}$

x^2+8x=128

x^2+8x-128=0

(x+16)(x-8)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=8 .

The length of the shorter diagonal is units long.

Report an Error

Example Question #21 : Plane Geometry

If the area of a kite is 114 square units, and one diagonal is units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+7 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$114=\frac{x(x+7)}{2}$

x^2+7x=228

x^2+7x-228=0

(x+19)(x-12)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=12 .

The length of the shorter diagonal is units long.

Report an Error

Example Question #21 : How To Find The Length Of The Diagonal Of A Kite

If the area of a kite is 104 square units, and the length of one diagonal is less than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+3 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$104=\frac{x(x+3)}{2}$

x^2+3x=208

x^2+3x-208=0

(x+16)(x-13)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=13 .

The length of the shorter diagonal is units long.

Report an Error

Example Question #22 : Quadrilaterals

If the area of a kite is square units, and the length of one diagonal is units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+5 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$18=\frac{x(x+5)}{2}$

x^2+5x=36

x^2+5x-36=0

(x+9)(x-4)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=4 .

The length of the shorter diagonal is units long.

Report an Error

Example Question #21 : Quadrilaterals

If the area of a kite is square units, and one diagonal is units longer than the other, what is the length of the longer diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+3 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$20=\frac{x(x+3)}{2}$

x^2+3x=40

x^2+3x-40=0

(x+8)(x-5)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=5 .

To find the longer diagonal, add .

The length of the longer diagonal is units long.

Report an Error

Example Question #321 : Advanced Geometry

If the area of a kite is 1680 square units, and the length of one diagonal is units shorter than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by x+4 .

Recall how to find the area of a kite:

$\text{Area}=\frac{(\text{Diagonal 1})(\text{Diagonal 2})}{2}$

Plug in the given area and solve for .

$1680=\frac{x(x+4)}{2}$

x^2+4x=3360

x^2+4x-3360=0

(x+60)(x-56)=0

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, x=56 .

The length of the shorter diagonal is units long.

Report an Error

Example Question #1 : Area

Which of the following shapes is a kite?

Shapes

Possible Answers:

A, B

Correct answer:

A, B

Explanation:

A kite is a four-sided shape with straight sides that has two pairs of sides. Each pair of adjacent sides are equal in length. A square is also considered a kite.

Report an Error

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

What is the area of the following kite?

Kites

Possible Answers:

30m^2

20m^2

10m^2

8m^2

15m^2

Correct answer:

10m^2

Explanation:

The formula for the area of a kite:

$A = \frac{1}{2} (a)(b)$ ,

where represents the length of one diagonal and represents the length of the other diagonal.

Plugging in our values, we get:

$A = \frac{1}{2} (4\: m)(5\: m)$

$A = \frac{1}{2} (20\: m^2) = 10\: m^2$

Report an Error

← Previous 1 2 3 4 5 Next →

View Tutors

Christian
Certified Tutor

North Central College, Bachelor of Science, Physics. University of Wisconsin-Milwaukee, Master of Science, Physics.

View Tutors

Geoffrey
Certified Tutor

University of Vermont, Bachelor of Science, Exercise Science. Virginia Commonwealth University, Masters in Education, Special...

View Tutors

Emmanuel
Certified Tutor

Boise State University, Bachelor of Science, Respiratory Therapy. Duke University, Master of Science, Physician Assistance.

All Advanced Geometry Resources

6 Diagnostic Tests 57 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Atlanta, Algebra Tutors in New York City, GRE Tutors in New York City, GRE Tutors in Washington DC, Statistics Tutors in New York City, ACT Tutors in New York City, LSAT Tutors in Los Angeles, Chemistry Tutors in Washington DC, French Tutors in Philadelphia, Math Tutors in Phoenix

Popular Courses & Classes

MCAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Denver, ACT Courses & Classes in Miami, LSAT Courses & Classes in New York City, ISEE Courses & Classes in Boston, SSAT Courses & Classes in Seattle, Spanish Courses & Classes in Los Angeles, GMAT Courses & Classes in San Diego, LSAT Courses & Classes in Boston, ACT Courses & Classes in New York City

Popular Test Prep

SAT Test Prep in Philadelphia, ACT Test Prep in New York City, SAT Test Prep in Boston, SSAT Test Prep in Washington DC, GMAT Test Prep in Philadelphia, SSAT Test Prep in Atlanta, SAT Test Prep in New York City, SAT Test Prep in Chicago, LSAT Test Prep in Chicago, 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

Advanced Geometry : Kites

Study concepts, example questions & explanations for Advanced Geometry

All Advanced Geometry Resources

Example Questions

Example Question #21 : Quadrilaterals

Example Question #21 : Quadrilaterals

Example Question #321 : Advanced Geometry

Example Question #21 : Plane Geometry

Example Question #21 : How To Find The Length Of The Diagonal Of A Kite

Example Question #22 : Quadrilaterals

Example Question #21 : Quadrilaterals

Example Question #321 : Advanced Geometry

Example Question #1 : Area

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

All Advanced Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: