Answer:
To find the area of a regular octagon with a side length of 4 cm and an apothem of approximately 3.5 cm, we can use the formula:
Area = (1/2) × (apothem) × (perimeter)
The perimeter of a regular octagon can be calculated as:
Perimeter = 8 × (side length) = 8 × 4 cm = 32 cm
Therefore, the area of the octagon can be calculated as:
Area = (1/2) × (3.5 cm) × (32 cm) = 56 cm²
So, the area of the regular octagon is 56 square centimeters.