Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a=16.5 cm, s=24 cm
To find the area of a regular polygon, you can use the formula:
Area = 1/2 * apothem * perimeter
In this case, the apothem (a) is 16.5 cm and the side length (s) is 24 cm. Since a pentagon has 5 sides, the perimeter would be 5 * s.
Plugging in the values:
Perimeter = 5 * 24 cm = 120 cm
Area = 1/2 * 16.5 cm * 120 cm = 990 square cm
Therefore, the area of the regular pentagon with an apothem of 16.5 cm and side length of 24 cm is 990 square cm.