We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Advanced Geometry : How to find the area of a kite

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 Next →

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

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

Two congruent equilateral triangles with sides of length are connected so that they share a side. Each triangle has a height of . Express the area of the shape in terms of .

Possible Answers:

h^2

$\frac{h}{2}$

Correct answer:

Explanation:

The shape being described is a rhombus with side lengths 1. Since they are equilateral triangles connected by one side, that side becomes the lesser diagonal, so p=1 .

The greater diagonal is twice the height of the equaliteral triangles, q=2h .

The area of a rhombus is half the product of the diagonals, so:

$A=\frac{pq}{2}=\frac{1 \cdot 2h}{2}=h$

Report an Error

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

Find the area of a kite if the diagonal dimensions are x+3 and x-6 .

Possible Answers:

x^2+3x-18

$(x^2-3x-18)\sqrt2$

$\frac{x^2-3x+18}{2}$

$\frac{x^2-3x-18}{2}$

$\frac{x^2+3x-18}{2}$

Correct answer:

$\frac{x^2-3x-18}{2}$

Explanation:

The area of the kite is given below. The FOIL method will need to be used to simplify the binomial.

$A=\frac{d1\cdot d2}{2}=\frac{(x+3)(x-6)}{2}= \frac{x^2-6x+3x-18}{2}$

$A= \frac{x^2-3x-18}{2}$

Report an Error

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

The diagonal lengths of a kite are and . What is the area?

Possible Answers:

$42\sqrt2$

$\frac{169}{4}$

$21\sqrt2$

Correct answer:

Explanation:

The area of a kite is given below. Substitute the given diagonals to find the area.

$A= \frac{d1\cdot d2}{2} = \frac{6\cdot 7}{2}=21$

Report an Error

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

Find the area of a kite if the length of the diagonals are and .

Possible Answers:

$30\sqrt3$

$15\sqrt2$

$30\sqrt2$

Correct answer:

Explanation:

Substitute the given diagonals into the area formula for kites. Solve and simplify.

$A=\frac{d1\cdot d2}{2} = \frac{3\cdot 10}{2}=15$

Report an Error

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

The diagonals of a kite are $\sqrt10\:cm$ and $\sqrt5\:cm$ . Find the area.

Possible Answers:

$\frac{5\sqrt2}{2}\:cm^2$

$5\:cm^2$

$5\sqrt2\:cm^2$

$\sqrt5\:cm^2$

$\frac{2\sqrt5}{2}\:cm^2$

Correct answer:

$\frac{5\sqrt2}{2}\:cm^2$

Explanation:

The formula for the area for a kite is

$A=\frac{d_1\cdot d_2}{2}$ , where d_1 and d_2 are the lengths of the kite's two diagonals. We are given the length of these diagonals in the problem, so we can substitute them into the formula and solve for the area:

$A = \frac{d1\cdot d2}{2} = \frac{\sqrt10 \cdot \sqrt5}{2} = \frac{\sqrt50}{2} = \frac{5\sqrt2}{2}\:cm^2$

Report an Error

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

The diagonals of a kite are $(2x+1)\:units$ and $\frac{1}{x}\:units$ . Express the kite's area in simplified form.

Possible Answers:

$\frac{2x+1}{2x}\:units^2$

$\frac{x+1}{2x}\:units^2$

$\frac{2x+1}{4x}\:units^2$

$\frac{2}{x}\:units^2$

$\frac{2+x}{x}\:units^2$

Correct answer:

$\frac{2x+1}{2x}\:units^2$

Explanation:

Write the formula for the area of a kite.

$A=\frac{d_1\cdot d_2}{2}$

Substitute the diagonals and reduce.

$A=\frac{d_1\cdot d_2}{2} = \frac{(2x+1)(\frac{1}{x})}{2}$

Multiply the parenthetical elements together by distributing the $\frac{1}{x}$ :

$A= \frac{(2x\cdot \frac{1}{x})+(1\cdot \frac{1}{x})}{2}$

$A=\frac{\frac{2x}{x}+\frac{1}{x}}{2}$

$A=\frac{2+\frac{1}{x}}{2}$

You can consider the outermost fraction with in the denominator as multiplying everything in the numerator by $\frac{1}{2}$ :

$A=(\frac{1}{2})(2+\frac{1}{x})$

$A=1+\frac{1}{2x}$

Change the added to $\frac{2x}{2x}$ to create a common denominator and add the fractions to arrive at the correct answer:

$A=\frac{2x}{2x} + \frac{1}{2x} = \frac{2x+1}{2x}$

Report an Error

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

If the diagonals of a kite are $\frac{1}{6x}\:units$ and $2x+5\:units$ , express the area in simplified form.

Possible Answers:

$\frac{2x+5}{6x}\:units^2$

$\frac{2x+5}{12x}\:units^2$

$\frac{2x+5}{3x}\:units^2$

$\frac{x+5}{6}\:units^2$

$\frac{x+5}{12}\:units^2$

Correct answer:

$\frac{2x+5}{12x}\:units^2$

Explanation:

Write the formula for the area of a kite:

$A=\frac{d_1 \cdot d_2}{2}$

Substitute the given diagonals:

$A = \frac{(\frac{1}{6x})(2x+5)}{2}$

Distribute the $\frac{1}{6x}$ :

$A= \frac{\frac{1}{3}+\frac{5}{6x}}{2}$

Create a common denominator for the two fractions in the numerator:

$A= \frac{\frac{2x}{6x}+\frac{5}{6x}}{2}$

$A= \frac{\frac{2x+5}{6x}}{2}$

You can consider the outermost division by as multiplying everything in the numerator by $\frac{1}{2}$ :

$A=(\frac{1}{2})(\frac{2x+5}{6x})$

Multiply across to arrive at the correct answer:

$A=\frac{2x+5}{12x}$

Report an Error

Example Question #9 : How To Find The Area Of A Kite

Find the area of a kite if one diagonal is $2\:cm$ long, and the other diagonal is $10\:cm$ long.

Possible Answers:

$10\sqrt2\:cm^2$

$20\:cm^2$

$3\sqrt{10}$ cm^2

$10\sqrt3\:cm^2$

$10\:cm^2$

Correct answer:

$10\:cm^2$

Explanation:

The formula for the area of a kite is

$A=\frac{d_1\cdot d_2}{2}$

Plug in the values for each of the diagonals and solve.

$A = \frac{2\cdot 10}{2}=\frac{20}{2}=10\:cm^2$

Report an Error

← Previous 1 2 Next →

View Tutors

Yewande
Certified Tutor

Ryerson University, Master of Laws, Prelaw Studies.

View Tutors

Julian
Certified Tutor

Beloit College, Bachelor in Arts, Film Studies.

View Tutors

Monisha
Certified Tutor

University of Manchester, Doctor of Medicine, Community Health and Preventive Medicine.

All Advanced Geometry Resources

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

Popular Subjects

SAT Tutors in Phoenix, Computer Science Tutors in Los Angeles, Chemistry Tutors in Dallas Fort Worth, SSAT Tutors in Seattle, Physics Tutors in San Diego, Computer Science Tutors in Houston, English Tutors in Phoenix, Statistics Tutors in Washington DC, SAT Tutors in Los Angeles, ACT Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in Denver, LSAT Courses & Classes in San Diego, GMAT Courses & Classes in Washington DC, LSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Atlanta, LSAT Courses & Classes in Miami, GRE Courses & Classes in Chicago, GRE Courses & Classes in Los Angeles, GRE Courses & Classes in Miami, GMAT Courses & Classes in Philadelphia

Popular Test Prep

GMAT Test Prep in Houston, LSAT Test Prep in Los Angeles, MCAT Test Prep in Boston, MCAT Test Prep in San Diego, GRE Test Prep in San Diego, GMAT Test Prep in Chicago, GRE Test Prep in Chicago, MCAT Test Prep in New York City, MCAT Test Prep in Dallas Fort Worth, SAT Test Prep in New York City

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 : How to find the area of a kite

Study concepts, example questions & explanations for Advanced Geometry

All Advanced Geometry Resources

Example Questions

Example Question #1 : Area

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

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

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

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

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

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

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

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

Example Question #9 : 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: