13
QuizMultiple Choice

Polynomial Expressions — Test

Question 13 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24 A squared minus 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

Answer
A
6 times open paren 8 A squared minus 9 close paren
B
6 times open paren 4 A squared minus 3 close paren
C
6 A open paren 18 A minus 12 close paren
D
6 A open paren 12 A minus 9 close paren

Explanation

The hexagon is made of 6 equal equilateral triangles, so divide its area, 24A² − 18, by 6 to find the area of one triangle: 4A² − 3. Multiplying that triangle area by 6 gives 6(4A² − 3), which is choice B.

AI-written and checked against the verified answer.

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