Question

Find the perimeter of rectangle ABCD which has the following vertices:
A(-7,3), B(-2,3), C(-7,-6), D(-2,-6)



(1 point)
Responses

18
18

45
45

28
28

10
10
Question 11
Find the

Answer 1

To find the perimeter of rectangle ABCD with vertices A(-7, 3), B(-2, 3), C(-7, -6), and D(-2, -6), we first need to calculate the lengths of the sides of the rectangle.

1. **Calculate the length of the sides:**
- The length of side AB (or CD) can be calculated using the x-coordinates of points A and B, since they share the same y-coordinate:
\[
\text{Length of AB} = |x_B - x_A| = |-2 - (-7)| = |-2 + 7| = |5| = 5
\]

- The length of side BC (or AD) can be calculated using the y-coordinates of points B and C, since they share the same x-coordinate:
\[
\text{Length of BC} = |y_B - y_C| = |3 - (-6)| = |3 + 6| = |9| = 9
\]

2. **Calculate the perimeter:**
- The perimeter \(P\) of the rectangle is given by the formula:
\[
P = 2(\text{Length} + \text{Width}) = 2(5 + 9) = 2 \times 14 = 28
\]

Therefore, the perimeter of rectangle ABCD is **28**.