The perimeter of a square is 6.4 meters. What is its area

To find the area of a square, we can first determine the side length from the perimeter and then use that to calculate the area.

1. **Step 1**: Use the formula for the perimeter of a square:
   \[
   P = 4s
   \]
   where \( P \) is the perimeter and \( s \) is the side length of the square.

   Given that \( P = 6.4 \) meters, we can solve for \( s \):
   \[
   s = \frac{P}{4} = \frac{6.4}{4} = 1.6 \text{ meters}
   \]

2. **Step 2**: Now, to find the area \( A \) of the square, use the formula:
   \[
   A = s^2
   \]
   Substituting the value of \( s = 1.6 \) meters:
   \[
   A = (1.6)^2 = 2.56 \text{ square meters}
   \]

Therefore, the area of the square is **2.56 square meters**.

Would you like more details on any step, or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the area change if the perimeter of the square was doubled?
2. If the side length of the square is 2 meters, what is its perimeter?
3. How does the perimeter of a rectangle compare with a square if they both have the same area?
4. What is the length of the diagonal of this square?
5. How does the area of a square relate to its side length in general?

**Tip**: For any square, the side length can be easily found by dividing the perimeter by 4!

The perimeter of a square is 6.4 meters. What is its area?

Learn how to calculate the area of a square with a perimeter of 6.4 meters. This geometry problem explains how to find the side length and then determine the area using basic formulas. Suitable for students in Grades 5-7.

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