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),

Question

(
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.