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What is the area of regular hexagon ABCDEF? Explain or show your reasoning.

What Is The Area Of Regular Hexagon ABCDEF Explain Or Show Your Reasoning class=

Sagot :

Given: ABCDEF is a regualar hexagon

The regular hexagon can be divided into two congruent trapezoid

The bases of the trapezoid are 60 and 30 and the height of the trapezoid = 26

So, the area of one trapezoid = 0.5 x ( 60 + 30 ) * 26

so, the area of the hexagon = 2 x 0.5 * (60 + 30) * 26 = 2340

Another solution:

The hexagon can be divided into 6 identical triangle

The base of each triangle = 30

The height = 26

so, the area of the hexagon = 6 x 0.5 * 30 * 26 = 2340

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