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The fabric needed can be calculated as follows:
For each triangle base:
Area = (1/2) * base * height
Area = (1/2) * (√3/2) * (15√3)
Area = (15√3)/4
For each rectangle connection:
Area = length * width
Area = 15√3 * 3
Area = 45√3
Keivan will need two equilateral triangle bases and three rectangles connections.
Total fabric needed = 2 * (15√3)/4 + 3 * 45√3
Total fabric needed = 15√3 + 135√3
Total fabric needed = 150√3
Therefore, Keivan will need 150√3 units of fabric to construct his tent.
Answer: A. 150√3