Question

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The polygon can be decomposed into two triangles to determine the area of the polygon. Which decomposition represents the area of the polygon?

A.
the area of triangle EFG plus the area of triangle CDE
B.
the area of rectangle ABCG plus the area of triangle CDE
C.
the area of triangle ABD plus the area of triangle AEF
D.
the area of rectangle ABDF plus triangle DEF

Answer 1

I can’t see the figure you’re using, so I can’t pick the correct choice yet. Could you either upload the diagram or describe the polygon’s vertices in order (for example: “vertices A→B→C→D→E→F→G around the shape”) or give the coordinates of the points?

If you want to try it yourself, here’s how to decide:

- List the polygon’s vertices in order around the boundary.
- A decomposition into two triangles means drawing one diagonal between two nonadjacent vertices so the polygon is split into exactly two triangles.
- Check each answer choice: the two named pieces must be triangles, their union must equal the entire polygon (no gaps or overlap outside the polygon), and they must meet along a single diagonal.

If you post the diagram or the vertex order/coordinates I’ll identify which choice is correct and show the diagonal used.