Question

Rectangle MNOP has vertices at the coordinates (-5,3) (1,3) (1,1) (-5,1). What is the perimeter of the rectangle?(1 point)
Responses

8
8

16
16

12
12

16

Answer 1

To find the perimeter of rectangle MNOP with the given vertices at the coordinates (-5,3), (1,3), (1,1), and (-5,1), we first need to determine the lengths of the sides of the rectangle.

1. **Finding the lengths of the sides:**
- The length of the top side (from (-5,3) to (1,3)) can be calculated as:
\[
\text{Length} = x_2 - x_1 = 1 - (-5) = 1 + 5 = 6
\]

- The length of the left side (from (-5,3) to (-5,1)) can be calculated as:
\[
\text{Height} = y_1 - y_2 = 3 - 1 = 2
\]

2. **Calculating the perimeter:**
The formula for the perimeter \(P\) of a rectangle is:
\[
P = 2 \times (\text{Length} + \text{Height})
\]
Substituting the values we found:
\[
P = 2 \times (6 + 2) = 2 \times 8 = 16
\]

Therefore, the perimeter of rectangle MNOP is **16**.