Final answer:
To find the area of a regular pentagon, multiply the apothem by half the perimeter. In this case, the area is approximately 440 cm².
Step-by-step explanation:
To find the area of a regular pentagon, we can multiply the apothem by half the perimeter. The apothem is the distance from the center of the pentagon to the midpoint of any of its sides. The perimeter of a regular pentagon can be found by multiplying the side length by 5. In this case, the apothem is 11.01 cm and the side length is 16 cm.
Firstly, we need to calculate the perimeter of the pentagon: Perimeter = side length x 5 = 16 cm x 5 = 80 cm. Half the perimeter is then 80 cm / 2 = 40 cm.
Next, we can find the area by multiplying the apothem by half the perimeter: Area = apothem x half the perimeter = 11.01 cm x 40 cm = 440.4 cm².
Rounding to the nearest whole number, the area of the regular pentagon is approximately 440 cm².