P(-2, -5), q(-6, -5), and r(-6, -2) are three vertices of rectangle pqrs. the coordinates of vertex s are (, ). the area of rectangle pqrs is square units.

The diagonals of a rectangle have the same midpoint, so

... (P + R)/2 = (Q + S)/2

... S = P +R -Q . . . . . . . . multiply by 2, subtract Q

... S = (-2, -5) +(-6, -2) -(-6, -5) = (-2-6+6, -5-2+5)

... S = (-2, -2)

Side lengths are (-2 -(-6)) = 4 and (-2 -(-5)) = 3. The area is the product of the side lengths, so is ...

... Area = 4·3 = 12 square units

i just took the test, the correct answer is .. 31.5 in.