Answer:
the first option (1,3) and (1,-2)
Explanation:
it is unusual to have neighboring corners of a rectangle called A and C. normally the neighbors of A are B and D. but ok.
A and C have the same x coordinate (-3). so, A is directly above C. the distance between them is therefore only the difference between their y coordinates.
AC = 3 - -2 = 3 + 2 = 5
the area of the rectangle is length × width, so
20 = AC × AB = 5 × AB
AB = 20/5 = 4
in a rectangle all angles are 90 degrees.
so, to find B we need to draw a line of 4 units from A to the right, perpendicular to AC. that means that now the y coordinate is the same as for A (3), and the distance to A is just the difference in the x coordinate :
4 = Bx - -3 = Bx + 3
Bx = 1
=> B = (1, 3)
to maintain the rectangle shape now D has to be right under B and to the right of C with the same distances
DB = AC = 5
DC = AB = 4
due to the special orientation of the rectangle (the sides are all parallel to the x- and y-axis) we can simply add the distances to the corresponding coordinates, or just deduct from the other points :
D has to have the same x coordinate as B (1).
D has to have the same y coordinate as C (-2).
so, D = (1, -2)