Answer: See below
Step-by-step explanation:
To find the area of the polygon BFEADCA, we can break it down into simpler shapes and then calculate their individual areas.
1. Triangle BFE:
- The base of triangle BFE is BF, which measures 10 cm.
- The height of triangle BFE is FE, which measures 16 cm.
- The area of a triangle can be calculated using the formula: Area = (base * height) / 2.
- Therefore, the area of triangle BFE is (10 * 16) / 2 = 80 cm².
2. Triangle EAD:
- The base of triangle EAD is AD, which measures 12 cm.
- The height of triangle EAD is EA, which measures 3 cm.
- Again, we can use the formula: Area = (base * height) / 2.
- Thus, the area of triangle EAD is (12 * 3) / 2 = 18 cm².
3. Triangle CDA:
- The base of triangle CDA is CD, which measures 5 cm.
- The height of triangle CDA is DA, which measures 12 cm.
- Applying the formula: Area = (base * height) / 2, we get (5 * 12) / 2 = 30 cm².
To find the total area of the polygon, we add the areas of the individual triangles together:
80 cm² + 18 cm² + 30 cm² = 128 cm².
Therefore, the area of the polygon BFEADCA is 128 cm².
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