Final answer:
The area of the rectangle is 30 square units and the perimeter is 22 units.
Step-by-step explanation:
The given vertices (-4,3) (2,3) (2,-2)(-4,-2) form a rectangle.
To find the area of a rectangle, we calculate the product of the length and width. Since the length of the rectangle is the distance between (-4,3) and (2,3), which is 6 units, and the width of the rectangle is the distance between (2,3) and (2,-2), which is 5 units, the area of the rectangle is 6 * 5 = 30 square units.
To find the perimeter of a rectangle, we calculate the sum of all its sides. The distances between the given vertices are: top side = 6 units, right side = 5 units, bottom side = 6 units, and left side = 5 units. Therefore, the perimeter of the rectangle is 6 + 5 + 6 + 5 = 22 units.