Answer:
Option C : 173.8 km² is the correct answer.
Step-by-step explanation:
Given that:
Side length = 6 kilometers
A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.
Area of octagon is given by;
Area = [tex]2(1+\sqrt{2})a^2[/tex]
Putting a=6
Area = [tex]2(1+\sqrt{2})(6)^2[/tex]
Area = [tex](2+2\sqrt{2})(36)[/tex]
Area = 173.82
Rounding off to one decimal place
Area = 173.8 km²
Hence,
Option C : 173.8 km² is the correct answer.
