Let's solve the problem step-by-step:
### Step 1: Given Information
We know that each side of the square measures 16 miles.
### Step 2: Find the Perimeter
The perimeter of a square is calculated by summing the lengths of all four sides. Since all sides of a square are equal:
[tex]\[
\text{Perimeter} = 4 \times \text{side length}
\][/tex]
Substituting the given side length of 16 miles:
[tex]\[
\text{Perimeter} = 4 \times 16 = 64 \text{ miles}
\][/tex]
So, the perimeter of the square is [tex]\(64\)[/tex] miles.
### Step 3: Find the Area
The area of a square is calculated by squaring the side length:
[tex]\[
\text{Area} = \text{side length} \times \text{side length} = \text{side length}^2
\][/tex]
Substituting the given side length of 16 miles:
[tex]\[
\text{Area} = 16 \times 16 = 256 \text{ square miles}
\][/tex]
So, the area of the square is [tex]\(256\)[/tex] square miles.
### Final Answers
1. The perimeter of the square is [tex]\(64\)[/tex] miles.
2. The area of the square is [tex]\(256\)[/tex] square miles.
