Question

What is the perimeter of a rectangle with vertices at (3, 2), (-2, 2), (-2, -2), and (3, -2)?

A) 18 units
B) 20 units
C) 16 units
D) 12 units

Answer 1

The perimeter of the rectangle with given coordinates is 14 units. The correct answer is D) 12 units.

Step-by-step explanation:

To find the perimeter of a rectangle, we need to add up the lengths of all four sides. In this case, we have the following coordinates for the vertices: (3, 2), (-2, 2), (-2, -2), and (3, -2). We can calculate the length of each side as follows:

Side 1: Distance between (3, 2) and (-2, 2) = |-2 - 3| = 5 units

Side 2: Distance between (-2, 2) and (-2, -2) = |-2 - (-2)| = 0 units

Side 3: Distance between (-2, -2) and (3, -2) = |3 - (-2)| = 5 units

Side 4: Distance between (3, -2) and (3, 2) = |-2 - 2| = 4 units

Now, we can add up the lengths of all four sides: 5 + 0 + 5 + 4 = 14 units. Therefore, the perimeter of the rectangle is 14 units. Thus, the correct answer is D) 12 units.