We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Trapezoids

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Trapezoids

Find the value of if the area of the trapezoid below is .

Possible Answers:

Correct answer:

Explanation:

The formula to find the area of a trapezoid is

$\text{Area}=\frac{1}{2}(base_1+base_2)(height)$ .

Substitute in the values for the area, a base, and the height. Then solve for .

$60=\frac{1}{2}(12+c)6$

120=(12+c)6

12+c=20

c=8

Report an Error

Example Question #301 : Plane Geometry

Find the value of if the area of the trapezoid below is 210 .

Possible Answers:

Correct answer:

Explanation:

The formula to find the area of a trapezoid is

$\text{Area}=\frac{1}{2}(base_1+base_2)(height)$ .

Substitute in the values for the area, a base, and the height. Then solve for .

$210=\frac{1}{2}(18+d)14$

420=(18+d)14

18+d=30

d=12

Report an Error

Example Question #303 : Intermediate Geometry

The area of the trapezoid below is . Find the length of .

Possible Answers:

Cannot be determined from the information given.

Correct answer:

Explanation:

Start by drawing in the height, , to form a right triangle.

Use the Pythagorean Theorem to find the length of .

8^2+(CE)^2=10^2

64+(CE)^2=100

(CE)^2=36

CE=6

Now that we have the height, plug in the given information into the formula to find the area of the trapezoid.

Keep in mind that AE+ED=AD .

$\text{Area}=\frac{1}{2}(base_1+base_2)(height)$

$96=\frac{1}{2}(12+AE+8)(6)$

$\frac{1}{2}(AE+20)=16$

AE+20=32

AE=12

The question asks you to find the length of .

AD=AE+ED

AD=12+8=20

Report an Error

Example Question #41 : Trapezoids

Find the length of . The area of the trapezoid is . Round to the nearest hundredths place.

Possible Answers:

Cannot be determined from the information given.

11.56

12.15

9.42

Correct answer:

12.15

Explanation:

First, draw in the height .

First, find by using $\text{sine}$ .

$\sin 47=\frac{CE}{8}$

$CE=8 \sin 47=5.85$

Now, plug in the values for area, height, and one base to find the length of the second base, .

$\text{Area}=\frac{1}{2}(base_1+base_2)(height)$

$56=\frac{1}{2}(7+AD)(5.85)$

$\frac{1}{2}(7+AD)=9.57$

7+AD=19.15

AD=12.15

Report an Error

Example Question #43 : Trapezoids

The area of the trapezoid below is 244 . Find the length of . Round to the nearest hundredths place.

Possible Answers:

56.23

67.41

94.12

57.12

Correct answer:

57.12

Explanation:

First, draw in the height.

10a

First, find the height by using $\text{sine}$ .

$\sin 62=\frac{height}{8}$

$height=8\sin 62=7.06$

Now, plug in the values for area, height, and one base to find the length of the second base, .

$\text{Area}=\frac{1}{2}(base_1+base_2)(height)$

$244=\frac{1}{2}(12+AD)(7.06)$

$\frac{1}{2}(12+AD)=34.56$

12+AD=69.12

AD=57.12

Report an Error

Example Question #304 : Intermediate Geometry

The area of the trapezoid below is 124 . Find the length of . Round to the nearest hundredths place.

Possible Answers:

19.54

16.34

15.25

11.14

Correct answer:

15.25

Explanation:

First, draw in the height.

11a

First, find the height by using $\text{sine}$ .

$\sin 58=\frac{height}{10}$

$height=10\sin 58=8.48$

Now, plug in the values for area, height, and one base to find the length of the second base, .

$\text{Area}=\frac{1}{2}(base_1+base_2)(height)$

$124=\frac{1}{2}(14+AD)(8.48)$

$\frac{1}{2}(14+AD)=14.62$

14+AD=29.25

AD=15.25

Report an Error

Example Question #131 : Quadrilaterals

Given: Quadrilateral ABCD such that $\overline{AB} \parallel \overline{CD}$ and $\overline{AD} \ncong \overline{BC}$

True, false, or undetermined: Quadrilateral ABCD is a trapezoid.

Possible Answers:

True

Undetermined

False

Correct answer:

True

Explanation:

Quadrilateral ABCD has at least one pair of parallel sides, $\overline{AB}$ and $\overline{CD}$ . The figure is, by definition, a parallelogram if and only if $\overline{AD} \parallel \overline{BC}$ , and, by definition, a trapezoid if and only if $\overline{AD} \nparallel \overline{BC}$ . Opposite sides of a parallelogram are also congruent; since $\overline{AD} \ncong \overline{BC}$ , Quadrilateral ABCD is not a parallelogram. It is therefore a trapezoid.

Report an Error

Example Question #45 : Trapezoids

A trapezoid has height 20 inches and area 640 square inches. Which of these choices can represent the lenghts of the two bases of the trapezoid?

Possible Answers:

32 inches and 32 inches

2 inches and 60 inches

18 inches and 44 inches

25 inches and 35 inches

27 inches and 37 inches

Correct answer:

27 inches and 37 inches

Explanation:

We can apply the area formula here.

$A = \frac{1}{2} h \left ( B+b\right )$

$640 = \frac{1}{2}\cdot 20 \left ( B+b\right )$

$640 = 10 \left ( B+b\right )$

B + b = 64

The sum of the bases must be 64 inches. We check each one of these choices, except for 32 inches and 32 inches, which can be eliminated as the bases cannot be of the same length.

27+37=64

25+35=60

18+44=62

2+60=62

Only 27 and 37 have 64 as a sum, so this is the correct choice.

Report an Error

View Tutors

Joshua
Certified Tutor

Murray State University, Bachelor in Arts, Spanish. Lipscomb University, Bachelor of Science, Teacher Assistant.

View Tutors

Kaylee
Certified Tutor

Brigham Young University, Bachelor, MFA - Animation.

View Tutors

Lydia
Certified Tutor

The Richard Stockton College of New Jersey, Bachelor of Science, Biochemistry and Molecular Biology.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ISEE Tutors in Seattle, English Tutors in Dallas Fort Worth, SAT Tutors in Philadelphia, SAT Tutors in New York City, MCAT Tutors in San Francisco-Bay Area, ISEE Tutors in Chicago, Math Tutors in San Francisco-Bay Area, Spanish Tutors in Phoenix, Computer Science Tutors in Washington DC, Calculus Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Atlanta, LSAT Courses & Classes in Houston, Spanish Courses & Classes in Philadelphia, Spanish Courses & Classes in Miami, GMAT Courses & Classes in Atlanta, Spanish Courses & Classes in San Diego, GMAT Courses & Classes in Denver, MCAT Courses & Classes in Denver, ISEE Courses & Classes in Atlanta, SAT Courses & Classes in Chicago

Popular Test Prep

ACT Test Prep in Denver, LSAT Test Prep in Denver, MCAT Test Prep in New York City, ACT Test Prep in Los Angeles, SAT Test Prep in San Diego, LSAT Test Prep in Phoenix, GMAT Test Prep in Philadelphia, GMAT Test Prep in Denver, LSAT Test Prep in Seattle, MCAT Test Prep in Houston

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

Intermediate Geometry : Trapezoids

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #41 : Trapezoids

Example Question #301 : Plane Geometry

Example Question #303 : Intermediate Geometry

Example Question #41 : Trapezoids

Example Question #43 : Trapezoids

Example Question #304 : Intermediate Geometry

Example Question #131 : Quadrilaterals

Example Question #45 : Trapezoids

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: