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?\no 6(4a² - 3)\no 6(8a² - 9)\no 6a(12a - 9)\no 6a(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). We can rewrite (24a^{2}-18) as (6\times4a^{2}-6\times3).
Step2: Apply the distributive property
Using the distributive property (ab - ac=a(b - c)), where (a = 6), (b = 4a^{2}), and (c = 3), we get (6(4a^{2}-3)).
Answer:
A. (6(4a^{2}-3))