Question

Rectangle upper A upper B upper C upper D is graphed on a coordinate plane. The x-axis ranges from negative 2 to 8 in increments of 1. The y-axis ranges from negative 5 to 4 in increments of 1.
Use the coordinates to compute the exact area of the rectangle.

(1 point)
Responses

20 units2
20 units squared

48 units2
48 units squared

9 units2
9 units squared

24 units2
24 units squared

Answer 1

To compute the area of rectangle ABCD, we first need to determine the coordinates of its vertices. However, since the specific coordinates of the rectangle are not provided in the question, we can work through the logic of finding the area.

The area of a rectangle can be calculated using the formula:

\[
\text{Area} = \text{length} \times \text{width}
\]

Assuming we can define the rectangle's vertices as follows (for example):
- A(x1, y1)
- B(x2, y1)
- C(x2, y2)
- D(x1, y2)

**Finding the length and width:**

1. Length: Difference in x-coordinates (width of the rectangle)
\[
\text{Length} = |x2 - x1|
\]

2. Width: Difference in y-coordinates (height of the rectangle)
\[
\text{Width} = |y2 - y1|
\]

Once we obtain the length and width from the coordinates, plug them into the area formula.

**Given the provided response options:**
- 20 units²
- 48 units²
- 9 units²
- 24 units²

We can deduce that the area must correspond to one of these values. However, without the specific coordinates of rectangle ABCD, I cannot provide a definitive answer.

If you can provide the coordinates of the rectangle's vertices, I can assist you further in calculating the area directly.