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. 6 (4a2 - 3)

b. 6 (8a2 - 9)

c. 6a (12a - 9)

d. 6a (18a - 12)

Question

Mathematics

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8 March, 04:49

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. 6 (4a2 - 3)

b. 6 (8a2 - 9)

c. 6a (12a - 9)

d. 6a (18a - 12)

+2

Answers (2)

Know the Answer?

Lucia Jacobson · Answer 1

6 (4a2 - 3)

Elianna Reese · Answer 2

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. 6 (4a2 - 3)

b. 6 (8a2 - 9)

c. 6a (12a - 9)

d. 6a (18a - 12)

Step-by-step explanation:

The answer is: a. 6 (4a2 - 3)

Since the area of the hexagon is equal to: 24a2 - 18, being 6 the triangles that form the hexagon, it would give us this result: 6 (4a2 - 3); 6 x 4a2 - 6 x 3; 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?a. 6 (4a2 - 3)b. 6 (8a2 - 9)c. 6a (12a - 9)d. 6a (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?

a. 6 (4a2 - 3)

b. 6 (8a2 - 9)

c. 6a (12a - 9)

d. 6a (18a - 12)