Answer:
Area of regular octagon is 102.16 ft².
Explanation:
Using Formula
Area of regular octagon = 2 a ² ( 1 + √2 )
substitute the values
Area of regular octagon = 2 ( 4.6 ft ) ²( 1 + √2 )
Evaluate the exponent
Area of regular octagon = 2 × 21.16 ft ²( 1 + √2 )
Using distributive property
Area of regular octagon = 42.32 × 1 + 42.32 × √2
multiply, we get
Area of regular octagon = 42.32 + 59.84
Add
Area of regular octagon = aaprox. 102.16 ft ²
Therefore, area of regular octagon is 102.16 ft².