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Q18.

Expert-verifiedFound in: Page 431

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.

Perimeter of regular hexagon is60 .

Regular Hexagon has six equal sides.

Let the side of hexagon be

So, we can conclude** **

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

$\Rightarrow 6a=60$

$\Rightarrow a=10$

Area of regular hexagon can be found using the formula

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

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

$=\frac{3\sqrt{3}}{2}\times 100$

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

Therefore, the area of given figure is $150\sqrt{3}$ square units.

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