Answer:
B. 1395 square units.
Step-by-step explanation:
We have been given an octagon. We are asked to find the area of the given regular octagon.
[tex]\text{Area of octagon}=\frac{a\cdot p}{2}[/tex], where,
a = Apothem,
p = Perimeter.
Let us find apothem of octagon by multiplying 17 by 8.
[tex]\text{Perimeter}=8\times 17[/tex]
[tex]\text{Perimeter}=136[/tex]
Upon substituting our given values in area formula, we will get:
[tex]\text{Area of octagon}=\frac{20.52\times 136}{2}[/tex]
[tex]\text{Area of octagon}=\frac{2790.72}{2}[/tex]
[tex]\text{Area of octagon}=1395.36\approx 1395[/tex]
Therefore, the area of our given octagon is 1395 square units.
