Question

The corners of a rectangular swimming pool are located at (-2,-4), (-2,-8), (6,-4), and (6,-8). What is the perimeter of the pool?(1 point)
Responses

25
25

24
24

12
12

30

Answer 1

To find the perimeter of the rectangular swimming pool, we first need to determine the lengths of its sides.

The corners of the pool are at the points:
- \( A(-2, -4) \)
- \( B(-2, -8) \)
- \( C(6, -4) \)
- \( D(6, -8) \)

### Length of length side (AB or CD):
To find the length of the vertical side \( AB \):
\[
\text{Length of } AB = |y_2 - y_1| = |-8 - (-4)| = |-8 + 4| = | -4 | = 4
\]

### Length of width side (BC or AD):
To find the length of the horizontal side \( BC \):
\[
\text{Length of } BC = |x_2 - x_1| = |6 - (-2)| = |6 + 2| = |8| = 8
\]

### Calculating the perimeter:
The perimeter \( P \) of a rectangle can be calculated using the formula:
\[
P = 2(\text{length} + \text{width}) = 2(4 + 8) = 2 \times 12 = 24
\]

Thus, the perimeter of the pool is \( \boxed{24} \).