Final answer:
To calculate the area of triangle RST, the base RU is 2 units, and the height UT is 1 unit. The area is ½ × 2 × 1, which equals 1 square unit. However, this area does not match the provided options, indicating a possible error.
Step-by-step explanation:
To calculate the area of a triangle RST, we can use the formula for the area of a triangle, which is ½ × base × height. Here, RU and UT on the coordinate plane represent the base and the height of our triangle, respectively.
First, we determine the length of the base RU, which is the horizontal distance between points R (-3, 2) and U (-1, 2). This distance is |(-1) - (-3)| = |2| = 2 units.
Next, we find the height UT, the vertical distance between points T (-1, 1) and U (-1, 2). This distance is |2 - 1| = |1| = 1 unit.
Now, applying the area formula, we get:
Area = ½ × base × height
= ½ × 2 units × 1 unit
= 1 square unit
Therefore, the area of triangle RST is 1 square unit, which is not one of the options provided. This suggests there might be an error in the question or a misunderstanding of the provided coordinates.