 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q18.

Expert-verified Found in: Page 431 ### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279 # Find the area of each figure:A regular hexagon with perimeter 60 .

The area of given figure is $150\sqrt{3}$ square units.

See the step by step solution

## Step 1. Given information.

Perimeter of regular hexagon is60 .

## Step 2. Analyze the given information.

Regular Hexagon has six equal sides.

Let the side of hexagon be So, we can conclude

$a+a+a+a+a+a=60$

$⇒6a=60$

$⇒a=10$

## Step 3. Find the area of given figure.

Area of regular hexagon can be found using the formula

$A=\frac{3\sqrt{3}}{2}{a}^{2}$

$=\frac{3\sqrt{3}}{2}{\left(10\right)}^{2}$

$=\frac{3\sqrt{3}}{2}×100$

$=150\sqrt{3}$ Square units.

Therefore, the area of given figure is $150\sqrt{3}$ square units. ### Want to see more solutions like these? 