Question

Question 1
Matthew wants to build a garden in his backyard. The corners will be located at (-3,-4), (-3,-7), (5,-4) 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

22 square units
22 square units

32 square units

Answer 1

To find the area of the pool that Matthew wants to build, we can use the coordinates of the corners of the rectangle formed by the corners (-3,-4), (-3,-7), (5,-4), and (5,-7).

1. **Find the lengths of the sides**:
- The length of the sides along the x-axis can be calculated as the difference between x-coordinates:
\( \text{Length} = 5 - (-3) = 5 + 3 = 8 \) units.

- The length of the sides along the y-axis can be calculated as the difference between y-coordinates:
\( \text{Width} = -4 - (-7) = -4 + 7 = 3 \) units.

2. **Calculate the area**:
The area of a rectangle is found by multiplying the length and the width:
\[
\text{Area} = \text{Length} \times \text{Width} = 8 \times 3 = 24 \, \text{square units}.
\]

Thus, the area of the garden pool is **24 square units**.