2.	Square A has an area of 169 square meters, and Square B has an area of 225 square meters. How much greater is the perimeter of Square B than Square A? Show all work and write your final answer in a complete sentence with appropriate units.

We are given the areas of two squares and need to find how much greater the perimeter of Square B is compared to Square A. Let's go through the steps:

### Step 1: Use the area to find the side lengths of each square.
The area \( A \) of a square is related to its side length \( s \) by the formula:

\[
A = s^2
\]

#### For Square A:
- The area of Square A is 169 square meters.
- To find the side length \( s_A \), solve for \( s_A \):

\[
s_A^2 = 169
\]
\[
s_A = \sqrt{169} = 13 \, \text{meters}
\]

#### For Square B:
- The area of Square B is 225 square meters.
- To find the side length \( s_B \), solve for \( s_B \):

\[
s_B^2 = 225
\]
\[
s_B = \sqrt{225} = 15 \, \text{meters}
\]

### Step 2: Find the perimeters of each square.
The perimeter \( P \) of a square is related to its side length \( s \) by the formula:

\[
P = 4s
\]

#### For Square A:
\[
P_A = 4 \times 13 = 52 \, \text{meters}
\]

#### For Square B:
\[
P_B = 4 \times 15 = 60 \, \text{meters}
\]

### Step 3: Find how much greater the perimeter of Square B is compared to Square A.
The difference in perimeter is:

\[
\Delta P = P_B - P_A = 60 - 52 = 8 \, \text{meters}
\]

### Final Answer:
The perimeter of Square B is 8 meters greater than the perimeter of Square A.

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Would you like a more detailed explanation or have any questions?

Here are five related questions for practice:
1. What is the side length of a square with an area of 256 square meters?
2. If the perimeter of a square is 40 meters, what is the side length?
3. How do you calculate the area of a square if you are given its perimeter?
4. What is the difference in area between Square A and Square B?
5. If the side of Square A increases by 2 meters, what will be its new perimeter?

**Tip:** When dealing with square-related problems, knowing how to quickly switch between area and perimeter formulas can save time!

Square A has an area of 169 square meters, and Square B has an area of 225 square meters. How much greater is the perimeter of Square B than Square A?

This problem compares the perimeters of two squares with areas of 169 and 225 square meters. Learn how to calculate the side lengths from the areas and determine how much greater Square B's perimeter is than Square A's. Suitable for Grades 6-8.

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