Question

Points are plotted at (-2, 2), (-2, -4), and (2, -4). A fourth point is drawn such that the four points can be connected to form a rectangle. What is the area of this rectangle?

Answer 1

The area of the rectangle is 24.

Explanation:

The given points:

a) (-2, 2)

b) (-2, -4)

c) (2, -4)

To complete the rectangle the other point must be (2, 2), so the rectangle formed has the following dimensions:

x: distance in the x-direction (from -2 to 2):

`x = 2 - (-2) = 4`

y: distance in the y-direction (from -4 to 2):

`y = 2 - (-4) = 6`

The area of the rectangle is:

`A = x*y = 4*6 = 24`

Therefore, the area of the rectangle is 24.

I hope it helps you!