A rectangle has the vertices below, find the area of the rectangle.

Question

(−8, −6), (4, −6), (4, 2), (−8, 2)
(1 point)
Responses

48 square units
48 square units

38 square units
38 square units

144 square units
144 square units

96 square units

Answer 1

To find the area of the rectangle, we need to find the length and width of the rectangle.

The length of the rectangle can be found by finding the distance between the x-coordinates of two adjacent vertices.
In this case, the x-coordinate of the first vertex is -8 and the x-coordinate of the second vertex is 4. So, the length is 4 - (-8) = 12 units.

The width of the rectangle can be found by finding the distance between the y-coordinates of two adjacent vertices.
In this case, the y-coordinate of the second vertex is -6 and the y-coordinate of the third vertex is 2. So, the width is 2 - (-6) = 8 units.

The area of a rectangle is calculated by multiplying the length by the width.
So, the area of this rectangle is 12 units * 8 units = 96 square units.

Therefore, the correct answer is 96 square units.