A rectangle is drawn on a coordinate plane with vertices (0, 0), (2, 2), (9, -4), and (7, -6).and using the coordinates. What is the approximate area of the rectangle?
25.76 units^2
24.1 units^2
12.05 units^2
52.2 units^2
To find the area of a rectangle, we can use the formula length × width.
The length can be found by finding the distance between the x-coordinates of two opposite vertices of the rectangle. In this case, the x-coordinates of the opposite vertices are (0, 0) and (9, -4). The distance between these two x-coordinates is 9 - 0 = 9 units.
The width can be found by finding the distance between the y-coordinates of the other two opposite vertices of the rectangle. In this case, the y-coordinates of the other two opposite vertices are (2, 2) and (7, -6). The distance between these two y-coordinates is 2 - (-6) = 8 units.
Therefore, the area of the rectangle is 9 units × 8 units = 72 square units.
None of the given answer choices is close to 72 square units.