ABCD is a rectangle, where the coordinates of C and D are (- 2,0) and (2,0), respectively.
If the area of the rectangle is 24, which of the following is a possible equation representing the line $$\overleftrightarrow{AB}$$?

CD is on of the side of the rectangle. So, two of the remaining 3 sides will be perpendicular to CD.

 Length of CD is 4. We are told that area is 24.

We know area of rectangle is lb. 4*l = 24

l = 6

So, the other two points should be such that when jined with C and D respectively, should be perpendicular to CD and lie at a distance of 6.

There will be two pair of such points. One pair is (-2,6), (2,6) and the other pair is (-2,-6), (2,-6)

So, there are two possible equations of AB. One is y = 6 and the other is y = -6.