⦁ Find the area of a regular Octagon with side lengths 5in. Round your answer to the nearest tenth.

apparently, this is incomplete so there's more to it...someone plz help me
A=2(1+√2)a^2=2*(1+√2)*5^2=120.71068

Respuesta :

You forgot to round to the nearest tenth. 120.7

Answer:

Area of octagon = 120.7 [tex]in^{2}[/tex]

Step-by-step explanation:

We know that,

Area of a regular octagon = [tex]2 \times (1+\sqrt{2}) \times a^{2}[/tex], where a is the length of the side.

Now, we have a = 5 inches.

Substituting the value of 'a' in the above formula, we have,

Area of a regular octagon = [tex]2 \times (1+\sqrt{2}) \times 5^{2}[/tex]

i.e. Area of a regular octagon = [tex]50 \times (1+\sqrt{2})[/tex]

i.e. Area of a regular octagon = [tex]120.71068[/tex]

So, we get the area of the octagon is 120.71068 [tex]in^{2}[/tex].

But, it is required to round the answer to the nearest tenth.

Hence, area of the octagon = 120.7 [tex]in^{2}[/tex].

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