Question

Suppose a rectangle is drawn on a coordinate plane. What is the perimeter of the rectangle if its verticies are at coordinates (1,2), (1,6), (5,6),
(
1
,
2
)
,

(
1
,
6
)
,

(
5
,
6
)
,
and (5,2)
(
5
,
2
)
? Round your answer to the nearest tenth. (1 point)
The perimeter is approximately
16.0
units.

Answer 1

To find the perimeter of the rectangle given the vertices at coordinates (1,2), (1,6), (5,6), and (5,2), we first need to determine the lengths of the sides.

1. **Length of the vertical sides:**
- The y-coordinates of points (1,2) and (1,6) give a vertical distance of:
\[
6 - 2 = 4
\]
- This is the height of the rectangle.

2. **Length of the horizontal sides:**
- The x-coordinates of points (1,2) and (5,2) give a horizontal distance of:
\[
5 - 1 = 4
\]
- This is the width of the rectangle.

3. **Calculating the perimeter:**
The perimeter \( P \) of a rectangle is calculated with the formula:
\[
P = 2(\text{length} + \text{width})
\]
Substituting the respective values:
\[
P = 2(4 + 4) = 2 \times 8 = 16
\]

Thus, the perimeter of the rectangle is **16.0 units**.