Respuesta :
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].