Question

Find the coordinates of the rectangle and use them to compute the area. (1 point) Responses 16 units2 16 units squared 15 units2 15 units squared 30 units2 30 units squared 8 units2

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

Answer 1

To find the area of the rectangle defined by the coordinates A(-5,6), B(-2,6), C(-2,1), and D(-5,1), we can first determine the lengths of the sides of the rectangle.

1. **Calculate the length of the rectangle:**
The length can be calculated using the x-coordinates of points A and B (or D and C):
- A(-5, 6) and B(-2, 6):
\[
\text{Length} = x_B - x_A = -2 - (-5) = 3 \text{ units}
\]

2. **Calculate the width of the rectangle:**
The width can be calculated using the y-coordinates of points A and D (or B and C):
- A(-5, 6) and D(-5, 1):
\[
\text{Width} = y_A - y_D = 6 - 1 = 5 \text{ units}
\]

3. **Calculate the area of the rectangle:**
The area \(A\) of a rectangle can be found using the formula:
\[
A = \text{Length} \times \text{Width}
\]
Substituting the values we found:
\[
A = 3 \text{ units} \times 5 \text{ units} = 15 \text{ units}^2
\]

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