Final answer:
The height of the parallelogram is 8.7m, calculated by dividing the area (211.41m²) by the base (24.3m). The area of the triangle is 0.0772m², found using the formula for the area of a triangle (1/2 × base × height) and converting the measurements to meters.
Step-by-step explanation:
The student asked to find the height of a parallelogram given its area and base. The area of a parallelogram is calculated using the formula Area = base × height. Given that the area is 211.41m² and the base is 24.3m, we can rearrange the formula to solve for the height: height = Area / base. Thus, the height of the parallelogram is 211.41m² / 24.3m = 8.7m.
To answer the second question, for calculating the area of a triangle, the formula to use is Area = 1/2 × base × height. If the base of the triangle is 166mm and its height is 930.0mm, we first convert these measurements to meters by dividing by 1000 (since 1000mm = 1m), resulting in a base of 0.166m and a height of 0.930m. The area is then calculated as Area = 1/2 × 0.166m × 0.930m, which equals 0.07719m². Given significant figures from the original measurements, the area should be expressed using three significant figures as 0.0772m².