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?

Answer 1

im being timed i need help

Answer 2

thxs

Answer 3

what

Answer 4

nvm

Answer 5

next time please post the choices

6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)

if the area of the hexagon is made up of 6 equilateral triangles, we can re-write the area as

6 * (area of a triangle)

this either matches choice A or choice B, where the area of one of the triangles goes inside the parentheses. to narrow it down, let's calculate the area of one of the triangles.

since the hexagon is made up of 6 equilateral triangles, the area of one triangle is simply (1/6) the whole area. so take the area of the hexagon, and divide by 6. then substitute it into "area of a triangle" in the previous expression.