Call Now to Set Up Tutoring:

(888) 888 - 0446

ISEE Upper Level Math : How to find the area of a trapezoid

Study concepts, example questions & explanations for ISEE Upper Level Math

Create An Account Create Tests & Flashcards

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Trapezoid

Note: Figure NOT drawn to scale.

上述梯形面积. What is?

Possible Answers:

h = 9

h = 14

h = 10

h = 7

h = 12

Correct answer:

h = 7

Explanation:

Substitute A = 98, B = 16, b = 12 in the formula for the area of a trapezoid:

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

$\frac{1}{2} (16 + 12)h = 98$

$\frac{1}{2} (28)h = 98$

14h = 98

$14h \div 14= 98 \div 14$

h = 7

Report an Error

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

A trapezoid has height 20 inches. Its bases have sum 30 inches, and one base is 6 inches longer than the other. What is the area of this trapezoid?

Possible Answers:

$600 \textrm{ in}^{2}$

$240 \textrm{ in}^{2}$

It cannot be determined from the information given.

$300 \textrm{ in}^{2}$

$360 \textrm{ in}^{2}$

Correct answer:

$300 \textrm{ in}^{2}$

Explanation:

You do not need to find the individual bases; their sum,, is B + b . You can substitute B + b =30, h = 20 into the formula for the area of a trapezoid:

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

$A = \frac{1}{2}\cdot 30\cdot 20 = 300$ square inches.

Note that the fact that one base isinches longer is not important here.

Report an Error

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

Trapezoidr

Find the area of the above trapezoid if $a=12\ cm$ , $b=14\ cm$ , and $h=10\ cm$ .

Figure not drawn to scale.

Possible Answers:

$130\ cm^2$

$90\ cm^2$

$100\ cm^2$

$110\ cm^2$

$120\ cm^2$

Correct answer:

$130\ cm^2$

Explanation:

The area of a trapezoid is given by

$Area=(\frac{b_{1}+b_{2}}{2})h$ ,

where $b_{}1$ , $b_{}2$ 每个基地的长度吗andis the altitude (height)of the trapezoid.

$b_{1}=a=12\ cm$

$b_{2}=b=14\ cm$

$h=10\ cm$

$Area=(\frac{b_{1}+b_{2}}{2})h=(\frac{12+14}{2})\times 10=13\times 10=130\ cm^2$

Report an Error

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

A trapezoid has the base lengths ofand. The area of the trapezoid is 8t^2 . Give the height of the trapezoid in terms of.

Possible Answers:

Correct answer:

Explanation:

The area of a trapezoid is given by

$Area=(\frac{b_{1}+b_{2}}{2})h$ ,

where $b_{}1$ , $b_{}2$ 每个基地的长度吗andis the altitude (height) of the trapezoid.

$Area=(\frac{b_{1}+b_{2}}{2})h=(\frac{3t+t}{2})\times h=8t^2\Rightarrow (2t)h=8t^2$

$\Rightarrow h=\frac{8t^2}{2t}=4t$

Report an Error

Example Question #5 :How To Find The Area Of A Trapezoid

In the following trapezoid b=2a and a=h . The area of the trapezoid is 54 square inches. Give the height of the trapezoid. Figure not drawn to scale.

Trap

Possible Answers:

$4\ in$

$6\ in$

$7\ in$

$5\ in$

$3\ in$

Correct answer:

$6\ in$

Explanation:

The area of a trapezoid is given by

$Area=(\frac{b_{1}+b_{2}}{2})h$ ,

where $b_{}1$ , $b_{}2$ 每个基地的长度吗andis the altitude (height) of the trapezoid.

$b_{1}=a$

$b_{2}=b=2a$

h=a

Substitute these values into the area formula:

$Area=(\frac{b_{1}+b_{2}}{2})h=(\frac{a+2a}{2})a=54\Rightarrow \frac{3a^2}{2}=54\Rightarrow a^2=36\Rightarrow a=6\ in$

Report an Error

Example Question #6 :How To Find The Area Of A Trapezoid

Square 3

What is the area of the shaded portion of the above square?

Possible Answers:

492

408

401

551

Correct answer:

492

Explanation:

Quadrilateral SQUR - the shaded region - is a trapezoid with bases $\overline{SR}$ and $\overline{QU }$ , and altitude $\overline{SQ}$ . The area of the trapezoid can be calculated using the formula

$A = \frac{1}{2} ( b_{1}+ b_{2} ) h$ ,

where $b_{1} = SR = 24$ and $b_{2} = QU$ , and h = SQ = 25 .

The length of $\overline{UA}$ can be found by setting c = 25 and b = 24 and applying the Pythagorean Theorem:

$a = \sqrt{c^{2} - b^{2}} = \sqrt{25^{2} - 24^{2}} =\sqrt{625- 576} = \sqrt{49} = 7$

Therefore,

QU = QA - UA = 24 - 7 = 17 .

替换:

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

$A = \frac{1}{2} ( 24 + 17) 24$

$A = \frac{1}{2} \cdot 41 \cdot 24$

A = 492

Report an Error

View Tutors

Jeffrey
Certified Tutor

Brigham Young University-Provo, Bachelor of Science, Electrical Engineering. City University of Seattle, Master of Science, P...

View Tutors

Steven
Certified Tutor

Stony Brook University, Bachelor of Science, Applied Mathematics. Florida Gulf Coast University, Master of Arts Teaching, Mat...

View Tutors

Justin
Certified Tutor

Boston College, Bachelor in Arts, Philosophy. Montclair State University, Master of Arts Teaching, Education.

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Denver,Calculus Tutors in Atlanta,Spanish Tutors in Seattle,GMAT Tutors in Phoenix,Computer Science Tutors in Miami,Calculus Tutors in Boston,Physics Tutors in Chicago,French Tutors in Phoenix,French Tutors in Washington DC,Statistics Tutors in Seattle

Popular Courses & Classes

LSAT Courses & Classes in Los Angeles,LSAT Courses & Classes in Seattle,MCAT Courses & Classes in Atlanta,ISEE Courses & Classes in Phoenix,ACT Courses & Classes in Chicago,ISEE Courses & Classes in New York City,SAT Courses & Classes in Denver,LSAT Courses & Classes in Atlanta,GRE Courses & Classes in Washington DC,ISEE Courses & Classes in Washington DC

Popular Test Prep

LSAT Test Prep in Los Angeles,SAT Test Prep in Dallas Fort Worth,ACT Test Prep in Chicago,LSAT Test Prep in Philadelphia,LSAT Test Prep in Phoenix,MCAT Test Prep in New York City,MCAT Test Prep in Boston,MCAT Test Prep in Miami,SAT Test Prep in Chicago,MCAT Test Prep in Chicago

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:

copyrigh的物理或电子签名t 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

ISEE Upper Level Math : How to find the area of a trapezoid

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

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

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

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

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

Example Question #5 :How To Find The Area Of A Trapezoid

Example Question #6 :How To Find The Area Of A Trapezoid

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Find the Best Tutors

Email address:
Your name:

Email address:
Your name:
Feedback: