Question

A square garden has a perimeter of 60 m. What is its area?

Answers

Answered by GPT-4o mini
To find the area of a square garden, we first need to determine the length of one side of the square using the perimeter.

The formula for the perimeter \( P \) of a square is given by:
\[
P = 4s
\]
where \( s \) is the length of one side.

Given that the perimeter is 60 m, we can set up the equation:
\[
4s = 60
\]

To find \( s \), we divide both sides by 4:
\[
s = \frac{60}{4} = 15 \text{ m}
\]

Now that we have the length of one side, we can calculate the area \( A \) of the square using the formula:
\[
A = s^2
\]
Substituting \( s \) into the area formula:
\[
A = 15^2 = 225 \text{ m}^2
\]

Therefore, the area of the square garden is \( \boxed{225} \) square meters.
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