Question

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)

Answer 1

The hexagon is formed from six equilateral triangles. The triangles, being equilateral forming regular hexagon, have equal areas. In this problem, to determine the expression based on the area of a triangle, factor out six from the given expression. This gives 6(4a2 - 3). Thus, the answer is the first among the choices. 

Answer 2

Answer:

A. 6(4a2 – 3)

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