Final answer:
The area of a 6-sided regular polygon with sides measuring 7.3 inches and an apothem of 6.3 inches is 138.27 square inches.
Step-by-step explanation:
To find the area of a regular polygon, we can use the formula: Area = (Perimeter × Apothem) / 2.
In this case, the polygon has 6 sides with a length of 7.3 inches and an apothem of 6.3 inches.
The perimeter of the polygon is 6 times the length of one side, so it is 6 × 7.3 = 43.8 inches.
Plugging these values into the formula, we get: Area = (43.8 × 6.3) / 2 = 138.27 square inches.
Therefore, the correct answer is B) 138.27 square inches.