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?

A regular hexagon made from six congruent equilateral triangles has an area equal to 6 times the area of one triangle. Factor 6 out of the given area: 24a² − 18 = 6(4a² − 3). So 6(4a² − 3) is the equivalent expression.

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