Question

Determine the coordinates of rectangle  ABCD . Use the coordinates to compute the area of the rectangle.

Answer 1

To determine the coordinates of rectangle ABCD, we need specific information about the position of the rectangle on a coordinate plane. Let's assume you want to define rectangle ABCD with the following given vertices:

- A (x1, y1)
- B (x2, y1)
- C (x2, y2)
- D (x1, y2)

Where \( (x1, y1) \) and \( (x2, y2) \) are the bottom left and top right vertices, respectively.

1. **Calculate the Length and Width**:
- The length \( L \) of the rectangle can be calculated as:
\[
L = |x2 - x1|
\]
- The width \( W \) of the rectangle can be calculated as:
\[
W = |y2 - y1|
\]

2. **Calculate the Area**:
The area \( A \) of the rectangle can be computed using the formula:
\[
A = L \times W = |x2 - x1| \times |y2 - y1|
\]

### Example

Let’s assume rectangle ABCD has the following coordinates:
- A(1, 2)
- B(4, 2)
- C(4, 5)
- D(1, 5)

1. Length \( L \):
\[
L = |4 - 1| = 3
\]

2. Width \( W \):
\[
W = |5 - 2| = 3
\]

3. Area \( A \):
\[
A = L \times W = 3 \times 3 = 9
\]

Thus, the area of rectangle ABCD is 9 square units.

If you have specific coordinates for rectangle ABCD, please provide them, and I can help you compute the area based on those coordinates!