six equilateral triangles are connected to create a regular hexagon. the area of the hexagon is 24a² - 18…

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?\n6(4a² - 3)\n6(8a² - 9)\n6a(12a - 9)\n6a(18a - 12)

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?\n6(4a² - 3)\n6(8a² - 9)\n6a(12a - 9)\n6a(18a - 12)

Answer

Explanation:

Step1: Factor out the greatest - common factor

The area of the hexagon is (24a^{2}-18). The greatest - common factor of (24a^{2}) and (18) is (6). [24a^{2}-18 = 6\times4a^{2}-6\times3]

Step2: Apply the distributive property

Using the distributive property (ab - ac=a(b - c)), we have (6\times4a^{2}-6\times3=6(4a^{2}-3))

Answer:

A. (6(4a^{2}-3))