Please explain these two geometry questions?

Question

anonymous · Answer

attachment

directrix · Answer

What is the area of the parallelogram?

anonymous · Answer

Just by counting the units I got 6 square units, but I'm not sure if that's accurate.

anonymous · Answer

The area of a parallelogram is the base times the height. The base is 3 units across and the height is 2 units (the height is the straight distance up, not the slanted height) so the area would be 6 square units, yes.

anonymous · Answer

Okay. How do I do the second question?

anonymous · Answer

The area of a triangle is one half its base times its height (again, straight height). So we want a triangle that has an area of 6 square units. The base is the AB segment, and it has a length of 3. So we need (1/2)(3)(h) to equal 6. Solving for the height we find we need a straight height of 4. So plot each of those points and see which one gives you a straight height of 4 to the base.

anonymous · Answer

(2,1) ?

anonymous · Answer

Yes, thats exactly right.

anonymous · Answer

Thanks!

anonymous · Answer

You're welcome, glad I could help