Each side of the hexagon is the same length. Which statement best explains how Jamie can find the area of the hexagon? $\newline$ A. Add the areas of six congruent triangles, each with a base of $4.62$ inches and a height of $4$ inches. $\newline$ B. Add the areas of six congruent triangles, each with a base of $4.62$ inches and a height of $8$ inches. $\newline$ C. Add the areas of two congruent rectangles, each with a length of $4.62$ inches and a height of $4$ inches. $\newline$ D. Add the areas of two congruent rectangles, each with a length of $4.62$ inches and a height of $8$ inches.

Full solution

Q. Each side of the hexagon is the same length. Which statement best explains how Jamie can find the area of the hexagon?

\newline

A. Add the areas of six congruent triangles, each with a base of

4.62

inches and a height of

4

inches.

\newline

B. Add the areas of six congruent triangles, each with a base of

4.62

inches and a height of

8

inches.

\newline

C. Add the areas of two congruent rectangles, each with a length of

4.62

inches and a height of

4

inches.

\newline

D. Add the areas of two congruent rectangles, each with a length of

4.62

inches and a height of

8

inches.

Identify Approach: Identify the correct approach to find the area of the hexagon. $\newline$ Since the hexagon can be divided into six congruent triangles, and the problem provides dimensions for these triangles, the best approach is to calculate the area of one triangle and multiply by $6$ .
Calculate Triangle Area: Calculate the area of one triangle. $\newline$ Using the formula for the area of a triangle, $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$ . $\newline$ Given base = $4$ . $62$ inches and height = $4$ inches (from option A), $\newline$ Area = $\frac{1}{2} \times 4.62 \times 4 = 9.24$ square inches.