The figure above shows a regular hexagon with sides of length a and a square with sides of length...

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Official College Board SAT Practice Test 2, section 4, question 30:

The figure above shows a regular hexagon with sides of length a and a square with sides of length a. If the area of the hexagon is 384 square root 3 square inches, what is the area, in square inches, of the square?
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This has to be one of the nastiest SAT questions I've encountered. Thank you so much! 🙏

matteonunez