The coordinates of the vertices of a polygon are R(-4, 3), S(-4, -7), T(5, -7), and V(5, 3). Find the area and determine whether it is a parallelogram, rectangle, or square.

The RS, and TV at the same x tells you that it is a rectangle, or square

distance RS= 3+7=10
distance TV= 10,
distance ST=9
distance VR=9

looks like a rectangle to me.