Question

The formula for the area of a trapezoid is a=12(b1 b2)h in which b1 represents the length of the top base, b2 represents the length of the bottom base, and h represents the height. If the area of a trapezoid is 152 m² with 16m for b1 and 8m for h, find the length of the bottom base b2.

Answer 1

The area of a triangle with a base of 166 mm and a height of 930.0 mm is 0.0771 m² when expressed to three significant figures.

Step-by-step explanation:

To find the area of a triangle when provided with the base and height, we apply the formula ½ × base × height. For a base of 166 mm and height of 930.0 mm, we would first convert the measurements to meters, since 1 meter equals 1000 millimeters. Therefore, we convert 166 mm to 0.166 meters and 930.0 mm to 0.930 meters. Using the formula, the area in square meters would be 0.5 × 0.166 m × 0.930 m, which equals to 0.077145 m². It's essential to express the answer with the correct number of significant figures, which in this case, given the original measurements, would likely be three significant figures. Thus, the final area, to three significant figures, is 0.0771 m².