Question

What is the area of rectangle WXYZ
W=(4,-8)
X=(0,-8)
Y=(0,3)
Z=(4,3)
Area = _______ Square Units

Answer 1

To find the area of rectangle WXYZ, we first need to determine the lengths of its sides.

1. **Identify the coordinates:**
- \( W = (4, -8) \)
- \( X = (0, -8) \)
- \( Y = (0, 3) \)
- \( Z = (4, 3) \)

2. **Calculate the length of one side (Width):**
The distance between points \( W \) and \( X \) is the width of the rectangle. We can find this length using the x-coordinates of points \( W \) and \( X \):

\[
\text{Width} = |x_W - x_X| = |4 - 0| = 4 \text{ units}
\]

3. **Calculate the length of the other side (Height):**
The distance between points \( Y \) and \( Z \) is the height of the rectangle. We can find this length using the y-coordinates of points \( Y \) and \( Z \):

\[
\text{Height} = |y_Y - y_Z| = |3 - (-8)| = |3 + 8| = 11 \text{ units}
\]

4. **Calculate the area:**
The area \( A \) of the rectangle can be calculated using the formula:

\[
A = \text{Width} \times \text{Height} = 4 \text{ units} \times 11 \text{ units} = 44 \text{ square units}
\]

Thus, the area of rectangle WXYZ is \( \boxed{44} \) square units.