Answered

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Can you please help me out

Sagot :

The area of a regular polygon is given by the following formula:

[tex]A=\frac{P\cdot a}{2}[/tex]

In which P is the perimeter of the polygon and a is the apothem.

First, find the perimeter of the polygon, you do it by multiplying the sidelenght by the number of sides, in this case, 6 sides:

[tex]P=5\cdot6=30[/tex]

Now, find the area:

[tex]\begin{gathered} A=\frac{30\cdot4.33}{2} \\ A=64.95 \end{gathered}[/tex]

The area of the polygon is 64.95cm^2

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