High School Math : How to find the perimeter of a rhombus

Study concepts, example questions & explanations for High School Math

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Example Questions

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

This figure is a rhombus with a side of 8 in.Rhombus

What is the perimeter of the rhombus (in)?

Possible Answers:

\(\displaystyle 48\)

\(\displaystyle 46\)

\(\displaystyle 16\)

\(\displaystyle 64\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 32\)

Explanation:

The perimeter of the rhombus is the distance around the outside of the figure.  Since a rhombus has 4 congruent sides, the perimeter is simply \(\displaystyle 4\cdot8=32\).

Example Question #272 : Geometry

You are given a rhombus with a side of \(\displaystyle 5\) meters. What is the perimeter of the rhombus? 

Possible Answers:

\(\displaystyle 10\) meters 

\(\displaystyle 8\) meters 

\(\displaystyle 5\) meters 

\(\displaystyle 20\) meters 

\(\displaystyle 15\) meters 

Correct answer:

\(\displaystyle 20\) meters 

Explanation:

A rhombus is a quadrilateral (\(\displaystyle 4\) sided figure) with \(\displaystyle 4\) congruent sides. The perimeter is the sum of the sides. Thus, to find the perimeter of the rhombus, we multiply the perimeter by \(\displaystyle 4\). This gives us \(\displaystyle 20\) meters. 

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