Question

Question 1
Zachary wants to build garden in his backyard. The corners will be located at (-2,-5), (-2,-7), (5,-5) and (5,-7). What is the area of the pool?(1 point)
Responses

24 square units
24 square units

11 square units
11 square units

14 square units
14 square units

32 square units

Answer 1

To find the area of the garden with corners at the points (-2, -5), (-2, -7), (5, -5), and (5, -7), we can determine the lengths of the sides.

1. **Determine the length of the width**:
- The x-coordinates for the vertical sides are -2 and 5.
- The length between these points is:
\( |5 - (-2)| = 5 + 2 = 7 \) units.

2. **Determine the length of the height**:
- The y-coordinates for the horizontal sides are -5 and -7.
- The length between these points is:
\( |-5 - (-7)| = |-5 + 7| = |2| = 2 \) units.

3. **Calculate the area of the rectangle**:
- Area = length × width = height × width = \( 7 \times 2 = 14 \) square units.

Thus, the area of the garden is **14 square units**.

The correct response is **14 square units**.