Final answer:
The area of a triangle with a base of 16.5 inches and a height of 7.5 inches is calculated as ½ × base × height. After multiplying, the area is 61.875 square inches, which rounds to 61.88 square inches. The correct answer is A) 61.88.
Step-by-step explanation:
The area of a triangle is calculated using the formula ½ × base × height. In this problem, we have a base (b) of 16.5 inches and a height (h) of 7.5 inches. To find the area, we multiply ½ by the base and then by the height.
Area = ½ × 16.5 in × 7.5 in
Now, multiply ½ by 16.5 to get 8.25, then multiply 8.25 by 7.5 to get the area.
Area = 8.25 in × 7.5 in = 61.875 in²
When rounding to the nearest hundredth, the area of the triangle is 61.88 square inches. Therefore, the correct answer is A) 61.88.