Question
2 4 4 12 3 Find the area of the polygon. Assume that segments that appear congruent are congruent and angles that appear to be right angles are right angles
64 square units
52 square units
58 square units
50 square units
64 square units
52 square units
58 square units
50 square units
Answers
Answered by
GPT 3.5
To find the area of the polygon, we need to split it into triangles and calculate the area of each triangle.
We can split the polygon into two triangles:
- Triangle 1: base = 4 units, height = 4 units
- Triangle 2: base = 8 units, height = 3 units
The area of Triangle 1 is (1/2) * base * height = (1/2) * 4 * 4 = 8 square units
The area of Triangle 2 is (1/2) * base * height = (1/2) * 8 * 3 = 12 square units
Therefore, the total area of the polygon is 8 + 12 = 20 square units
So, the correct answer is not among the options provided.
We can split the polygon into two triangles:
- Triangle 1: base = 4 units, height = 4 units
- Triangle 2: base = 8 units, height = 3 units
The area of Triangle 1 is (1/2) * base * height = (1/2) * 4 * 4 = 8 square units
The area of Triangle 2 is (1/2) * base * height = (1/2) * 8 * 3 = 12 square units
Therefore, the total area of the polygon is 8 + 12 = 20 square units
So, the correct answer is not among the options provided.
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