Question

The equation for the area of a triangle is ½(base*height). We know what the base and the height are in this scenario so we can calculate the deadweight loss by figuring out the area of this triangle: ½(difference between Q1 and Q2 * the difference between MC and MB at the wide end).

a) True
b) False

Answer 1

The area of a triangle is found with the formula 1/2 × base × height, ensuring units are consistent and calculations correctly use significant figures. For a base of 1.007 m and height of 0.665 m, the area is 0.334 m². For a base of 166 mm and height of 930.0 mm, the area is 0.07719 m² after converting mm to m.

Step-by-step explanation:

The area of a triangle is calculated using the formula: 1/2 × base × height. To ensure precision in the calculation, units must be consistent and it's crucial to consider the significant figures of the given measurements.

For a triangle with a base of 1.007 m and a height of 0.665 m, the area in square meters would be calculated as follows:

Area = 1/2 × (1.007 m) × (0.665 m) = 0.334 m² (rounded to three significant figures, matching the least number of significant figures in the given measurements).

For a second scenario with a base of 166 mm and a height of 930.0 mm, first, we convert the measurements to meters: 166 mm = 0.166 m and 930.0 mm = 0.930 m. Then we calculate the area:

Area = 1/2 × (0.166 m) × (0.930 m) = 0.07719 m² (rounded to five significant figures, again matching the least number of significant figures in the measurements).