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Consider the following square that measures 16 mi on each side.

(a) Find the perimeter (in miles).

(b) Find the area (in square miles).

Sagot :

GinnyAnswer
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.
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