Question

find the area of a regular hexagon with an apothem of 3.5 cm and a side length of 4 cm.

? \\(\text{cm}^2\\)

Explanation:

Calculate the perimeter of the regular hexagon

$$ P = 6 \times s = 6 \times 4\text{ cm} = 24\text{ cm} $$

Calculate the area using the apothem formula

$$ A = \frac{1}{2} \times a \times P = \frac{1}{2} \times 3.5\text{ cm} \times 24\text{ cm} = 42\text{ cm}^2 $$

Answer:

Find the area of a regular hexagon with an apothem of 3.5 cm and a side length of 4 cm.

<blank>42</blank> \(\text{cm}^2\)