Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Rhombuses

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

If the diagonals of a rhombus were and , what is the side length of the rhombus?

Possible Answers:

$2\sqrt5$

$\frac{3}{2}$

$\frac{\sqrt3}{4}$

$\frac{\sqrt5}{2}$

Correct answer:

$\frac{\sqrt5}{2}$

Explanation:

Write the formula used to find the rhombus side length given 2 diagonals.

$s = \frac{\sqrt{(d1)^2+(d2)^2}}{2}$

Substitute both diagonals in the equation and simplify.

$s = \frac{\sqrt{(1)^2+(2)^2}}{2}=\frac{\sqrt{1+4}}{2}= \frac{\sqrt5}{2}$

Report an Error

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

A rhombus has a perimeter of 114 . Find the length for one side of the rhombus.

Possible Answers:

$24\frac{1}{4}$

24.5

28.25

28.5

Correct answer:

28.5

Explanation:

To solve this problem, apply the perimeter formula for a rhombus: P=4S .
By applying the perimeter formula, the solution is:

114=4(s)

$s=\frac{114}{4}=28.5$

Report an Error

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Rhombus custom vt

Using the rhombus shown above, find the length of side .

Possible Answers:

63.25

63.5

58.25

69.5

Correct answer:

69.5

Explanation:

The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. Thus, the total perimeter is the sum of all sides.

To solve this problem, apply the perimeter formula for a rhombus: P=4S .
By applying the perimeter formula, the solution is:

278=4(s)

$s=278\div4=69.5$

Check:

$69.5\times4=278$

Report an Error

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Rhombus custom vt

A rhombus has two perpendicular interior diagonal lines. The diagonals have lengths of and . Find the length for side .

Possible Answers:

12.5

9.5

24.5

Correct answer:

12.5

Explanation:

This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:

$s=\frac{\sqrt{a^2+b^2}}{2}$

where the length of one side, and both and each represent one of the perpendicular diagonal lines.

The solution is:

$s=\frac{\sqrt{15^2+20^2}}{2}=\frac{\sqrt{225+400}}{2}=\frac{\sqrt{625}}{2}=\frac{25}{2}=12.5$

Report an Error

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

The perimeter of a rhombus is equal to $\sqrt{64}$ . Find the length for one side of the rhombus.

Possible Answers:

4.5

$\sqrt{8}$

Correct answer:

Explanation:

To solve this problem, apply the perimeter formula for a rhombus: P=4S .
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. The total perimeter is the sum of all sides.

The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.

By applying the perimeter formula, the solution is:

$\sqrt{64}=4(s)$

8=4(s)

$s=\frac{8}{4}=2$

Check:

$\sqrt{64}=4(2)$

8=8

Report an Error

Example Question #2 : How To Find The Length Of The Side Of A Rhombus

A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of and . Find the length for one side of the rhombus.

Possible Answers:

5.5

2.5

4.25

2.25

Correct answer:

2.5

Explanation:

Report an Error

Example Question #221 : Quadrilaterals

A rhombus has a perimeter of inches. Find the length for one side of the rhombus.

Possible Answers:

$\frac{2}{3}\textup{ foot}$

$9\textup{ inches}$

$4\textup{ inches}$

$\frac{3}{4}\textup{ foot}$

$\frac{1}{4}\textup{ foot}$

Correct answer:

$\frac{2}{3}\textup{ foot}$

Explanation:

To solve this problem, apply the perimeter formula for a rhombus: P=4S .

Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. The total perimeter is the sum of all sides.

The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.

By applying the perimeter formula, the solution is:

32=4(s) , where is equal to one of the four sides.

$s=\frac{32}{4}=8$

is equal to inches. Since inch is equal to $\frac{1}{12}$ foot, the final answer is:

inches is equal to $\frac{8}{12}$ foot, which can be reduced to $\frac{8\div 4}{12\div 4}=\frac{2}{3}$ foot

Report an Error

Example Question #222 : Quadrilaterals

Rhombus custom vt

Using the rhombus shown above, find the length of side .

Possible Answers:

$\frac{164}{8}$

$\frac{164}{3}$

Correct answer:

Explanation:

To solve this problem, apply the perimeter formula for a rhombus: P=4S .
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. The total perimeter is the sum of all sides.

The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:

164=4(s)

$s=164\div4=41$

s=41

Check:

$41\times4=164$

Report an Error

Example Question #223 : Quadrilaterals

Possible Answers:

6.5

5.5

7.5

Correct answer:

7.5

Explanation:

Report an Error

Example Question #224 : Quadrilaterals

Possible Answers:

26^2

Correct answer:

Explanation:

Report an Error

View ACT Math Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View ACT Math Tutors

Armon
Certified Tutor

Loyola University-Chicago, Bachelor of Science, Biology, General. Columbia College-Chicago, Bachelor of Science, Graphic Desi...

View ACT Math Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

MCAT Courses & Classes in Houston, LSAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Phoenix, MCAT Courses & Classes in Boston, LSAT Courses & Classes in Houston, ACT Courses & Classes in San Diego, ACT Courses & Classes in Washington DC, ACT Courses & Classes in Miami, GRE Courses & Classes in New York City, LSAT Courses & Classes in Denver

Popular Test Prep

ISEE Test Prep in New York City, GMAT Test Prep in Seattle, ACT Test Prep in Washington DC, ACT Test Prep in San Diego, LSAT Test Prep in Houston, ACT Test Prep in Miami, SAT Test Prep in Houston, LSAT Test Prep in Denver, GRE Test Prep in Washington DC, GMAT Test Prep in Phoenix

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

ACT Math : Rhombuses

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #2 : How To Find The Length Of The Side Of A Rhombus

Example Question #221 : Quadrilaterals

Example Question #222 : Quadrilaterals

Example Question #223 : Quadrilaterals

Example Question #224 : Quadrilaterals

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: