Problem:
The area in square units of the region enclosed by parallelogram is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The parallelogram rests on the horizontal axis. Since the coordinates of point are , it follows that the height of the parallelogram is . Since point is , it follows that the length of the base is . The area of a parallelogram is base times height. Thus the area is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions