To compute the approximate area of the rectangle that can be formed by the given points (-3, -1), (-2, -4), (4, -2), and (3, 1), we need to find the minimum and maximum x and y coordinates to determine the corners of the rectangle.
Step 1: Identify the minimum and maximum coordinates.
X coordinates:
- Minimum x: -3 (from the point (-3, -1))
- Maximum x: 4 (from the point (4, -2))
Y coordinates:
- Minimum y: -4 (from the point (-2, -4))
- Maximum y: 1 (from the point (3, 1))
Step 2: Calculate the width and height of the rectangle.
- Width = Maximum x - Minimum x = 4 - (-3) = 4 + 3 = 7
- Height = Maximum y - Minimum y = 1 - (-4) = 1 + 4 = 5
Step 3: Calculate the area of the rectangle.
Area = Width × Height = 7 × 5 = 35
So, the approximate area of the rectangle formed by the coordinates is 35 square units.