Question

If x = 8 units, y = 13 units, and h = 11 units, then what is the area of the parallelogram shown above?
A.
143 square units
B.
104 square units
C.
88 square units
D.
42 square units

Answer 1

Area = base × height. If the altitude h were to the base of length y = 13, then h would equal x·sinθ for some angle θ, so h ≤ x = 8 — but h = 11 > 8, impossible. Thus h is the altitude to the base x = 8. Therefore area = x·h = 8·11 = 88 square units.

Answer: 88 (C).