1. What is the area of the octagon, rounded to the nearest tenth?

The area of a regular octagon with side length $s = 7$ cm can be calculated using the general formula for the area of a regular octagon:

$A = 2(1 + \sqrt{2})s^2$

Substitute $s = 7$ cm:

$A = 2(1 + \sqrt{2})(7)^2 = 2(1 + \sqrt{2})(49)$ $A = 2(1 + 1.414)(49) = 2(2.414)(49) = 236.572 \, \text{cm}^2$

Rounded to the nearest tenth:

$A \approx 236.6 \, \text{square centimeters}$

---

2. Explain how to find the area of the octagon using Priya’s method.

Priya decomposes the octagon into 8 identical triangles. Here's how to calculate the area using her method:

1. Step 1: Find the apothem of the octagon.
   The ap