If each side of parallelogram ~$P$~ has length 1, what is the area of ~$P$~ ?
1. One angle of ~$P$~ measures 45 degrees.
2. The altitude of ~$P$~ is ~$\frac{\sqrt{2}}{2}$~.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.