Final answer:
To find the area of a triangle using base and height, first ensure all measurements are in the same units, apply the area formula, and provide the answer with the correct number of significant figures.
Step-by-step explanation:
The question concerns the area of a trapezium and the area of a triangle. To find the other base of the trapezium, we use the formula for the area of a trapezium, which is A = (1/2) * (a + b) * h, where A is the area, a and b are the lengths of the bases, and h is the height. The area of the triangle is computed using the formula A = (1/2) * base * height. It is important to convert all measurements to the same units before calculating the area and then express the final answer with the correct number of significant figures.
For the triangle with base 166 mm and height 930.0 mm, first we convert the units to meters: 166 mm = 0.166 m and 930.0 mm = 0.930 m. Then, we apply the formula for the area of a triangle: A = (1/2) * 0.166 m * 0.930 m = 0.07719 m². According to significant figures, we should round this to 0.0772 m², as the original measurements were given to three and four significant figures respectively.