Question

1. what is the area of this regular hexagon that has been divided into six congruent triangles?

7 cm
8 cm
336 $cm^{2}$
168 $cm^{2}$
84 $cm^{2}$
242 $cm^{2}$

Explanation:

Step1: Find area of one triangle

The formula for the area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Here, base $=7\ \text{cm}$, height $=8\ \text{cm}$.
$\text{Area of 1 triangle} = \frac{1}{2} \times 7 \times 8 = 28\ \text{cm}^2$

Step2: Calculate total hexagon area

There are 6 congruent triangles, so multiply the area of one triangle by 6.
$\text{Total Area} = 28 \times 6 = 168\ \text{cm}^2$

Answer:

168 cm²