Question

Find the area of the

regular figure below:

A) 160.5 km2
B) 166.2 km2
C) 173.8 km2
D) 182.4 km2
E) 189.1 km2

explain pls

Answer 1

Option C : 173.8 km² is the correct answer.

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 =
`2(1+√(2))a^2`

Putting a=6

Area =
`2(1+√(2))(6)^2`

Area =
`(2+2√(2))(36)`

Area = 173.82

Rounding off to one decimal place

Area = 173.8 km²

Hence,

Option C : 173.8 km² is the correct answer.