The area of a square is `225 cm ^(2) ` . Find :
(i) the length of a side
(ii) perimeter of the square.

Answer

To solve the problem step-by-step, we will find the length of a side of the square and then calculate the perimeter.

### Step 1: Find the length of a side of the square
The area of a square is given by the formula:
\[ \text{Area} = \text{side}^2 \]
We know the area is \(225 \, \text{cm}^2\). So, we can set up the equation:
\[ \text{side}^2 = 225 \]
To find the length of the side, we take the square root of both sides:
\[ \text{side} = \sqrt{225} \]
Calculating the square root:
\[ \text{side} = 15 \, \text{cm} \]

### Step 2: Calculate the perimeter of the square
The perimeter of a square is given by the formula:
\[ \text{Perimeter} = 4 \times \text{side} \]
Now substituting the value of the side we found:
\[ \text{Perimeter} = 4 \times 15 \]
Calculating the perimeter:
\[ \text{Perimeter} = 60 \, \text{cm} \]

### Final Answers:
(i) The length of a side of the square is \(15 \, \text{cm}\).

(ii) The perimeter of the square is \(60 \, \text{cm}\).

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