The perimeter of square garden is 24km.find its area 

To find the area of a square garden given its perimeter, follow these steps:

### Step 1: Use the formula for the perimeter of a square.
The formula for the perimeter \( P \) of a square is:
\[
P = 4 \times \text{side}
\]
We are given that the perimeter is 24 km, so:
\[
24 = 4 \times \text{side}
\]

### Step 2: Solve for the side length.
To find the side length, divide both sides of the equation by 4:
\[
\text{side} = \frac{24}{4} = 6 \, \text{km}
\]

### Step 3: Use the formula for the area of a square.
The formula for the area \( A \) of a square is:
\[
A = \text{side}^2
\]
Substitute the side length we found:
\[
A = 6^2 = 36 \, \text{km}^2
\]

So, the area of the square garden is **36 square kilometers**.

Do you need more details or have any questions?

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1. What is the relationship between the perimeter and area of a square?
2. How would the area change if the perimeter was doubled?
3. Can you derive the formula for the side of a square from the perimeter formula?
4. What are the units of area for a square with side lengths measured in kilometers?
5. How does the formula for a square's area compare with that of a rectangle?

**Tip**: The area of a square always grows faster than its perimeter because area depends on the square of the side length.

The perimeter of square garden is 24km. Find its area.

This problem teaches how to find the area of a square garden when its perimeter is given as 24 km. It covers key geometry concepts such as perimeter and area, and uses formulas for both. Suitable for students in Grades 6-8.

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