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Chapter 11: Q18. (page 431)

Find the area of each figure:

A regular hexagon with perimeter 60 .

Short Answer

Expert verified

The area of given figure is 1503square units.

Step by step solution

01

Step 1. Given information.

Perimeter of regular hexagon is60 .

02

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

鈬�6a=60

鈬�a=10

03

Step 3. Find the area of given figure.

Area of regular hexagon can be found using the formula

A=332a2

=332(10)2

=332脳100

=1503 Square units.

Therefore, the area of given figure is 1503square units.

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