Answer:
The area of the octagon stop sign to the nearest square centimetres is 187 cm²
Explanation:
The stop sign is in the shape of a regular octagon, therefore, the area is given by the following relation;
Area of regular octagon = 2 × (Side Length)² × (1 + √2)
Where:
Side Length = 38.7 cm
Area of regular octagon = 2 × 38.7 × (1 + √2) = 186.86 cm²
The area of the octagon stop sign = 186.86 cm²
The area of the octagon stop sign to the nearest square centimetres = 187 cm².