Question

Find the coordinates of the rectangle and use them to compute the area.

(1 point)

8 units²

16 units²

15 units2

30 units2

A: 6,-5
B: 6,-2
C: 1,-2
D: 1,-5

Answer 1

To find the area of the rectangle formed by the given points, we first need to determine the dimensions of the rectangle based on the coordinates of its vertices A, B, C, and D.

The coordinates of the vertices are:
- A: (6, -5)
- B: (6, -2)
- C: (1, -2)
- D: (1, -5)

1. **Identify the Lengths**:
- **Length (Vertical distance between A and B)**:
- A = (6, -5) and B = (6, -2). The y-coordinates change from -5 to -2.
- Length = |-2 - (-5)| = |-2 + 5| = |3| = 3 units.

- **Width (Horizontal distance between A and D)**:
- A = (6, -5) and D = (1, -5). The x-coordinates change from 6 to 1.
- Width = |1 - 6| = |-5| = 5 units.

2. **Calculate the Area**:
- Area of the rectangle = Length × Width
- Area = 3 units × 5 units = 15 units².

Thus, the area of the rectangle is **15 units²**.