Answer:
A = 84m²
Step-by-step explanation:
The easiest way to approach this is to break the polygon into two recognizable shapes, find the areas of each shape, then add them together.
The two shapes that make up this polygon are a rectangle and a triangle. First, find the area of the rectangle.
- A = lw
- A = 12 × 4
- A = 48m²
Next, find the area of the triangle. (I understand it may be harder to find the height of the triangle, but all you need to do is carefully examine the dimensions of the polygon. 10m is the distance from point D to line AB, and 4m is the length of AE. Just subtract them to get the height of the triangle.)
- A = 1/2 × bh
- A = 1/2 × 12 × 6
- A = 1/2 × 72
- A = 36m²
Lastly, add the two areas together.
- A = 48 + 36
- A = 84m²
