How do I find the area of this shaded polygon?

Question

anonymous · Answer

attachment

anonymous · Answer

split it up into 3 triangles and 1 rectangle

anonymous · Answer

BUt how do I find the other measurements when only 12 and 40 are given?

anonymous · Answer

If the top half is a reflection of the bottom half, than the area would be 24*40

anonymous · Answer

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anonymous · Answer

that drawing really helps. so now just take the area of the two parallelograms and add them up and that's the answer?

anonymous · Answer

More or less, yes.

I drew them as 2 separate parallelograms to show you what I did.
If you connect the edges, then you end up with a single parallelogram.

Since the bottom section is 12" high, then so is the top one, so you have a total of 24" in height.

The area of a parallelogram is exactly the same formula as a rectangle, which is B*H, so that is where you get the 24*40 from

anonymous · Answer

Ah okay, I get it now. Thank you so much for your help!

anonymous · Answer

No problem! I;m glad I could help!

And thanks!  :-)