GED Mathematical Reasoning TestQuantitative Problem Solving with MeasurementEasy
A surveyor is measuring a triangular plot of land. The base of the triangle is 80 meters, and its height is 50 meters. If the land is valued at $2.50 per square meter, what is the total value of the plot?
- A$2,000
- B$10,000
- C$5,000
- D$20,000
Show answer & explanationAnswer & explanation
Correct answer: C. $5,000
First, calculate the area of the triangular plot using the formula A = 0.5 × base × height. Then, multiply the calculated area by the value per square meter to find the total value.
Why the other options are wrong
- A. This results from multiplying base by height and then by 0.5, but using an incorrect price.
- B. This results from multiplying base by height without dividing by 2, then by the price.
- D. This is a significant overestimation, likely from an arithmetic error or misunderstanding of area.
Area of a Triangle
The amount of two-dimensional space enclosed within a triangle.
- Formula: A = 0.5 × base × height
- Base and height must be perpendicular to each other
- Units are square units (e.g., m², ft²)
Memory trick: Half Base Height, Then Price Right