The area of a rectangle is `5.4m^(2)`. If its breadth is 1.5 m, find its :
(i) length (ii) Perimeter

Answer

To solve the problem step by step, we will find the length of the rectangle first and then calculate its perimeter.

### Step 1: Find the Length of the Rectangle
The area of a rectangle is given by the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
We know the area and the breadth:
- Area = \(5.4 \, m^2\)
- Breadth = \(1.5 \, m\)

We can rearrange the formula to find the length:
\[ \text{Length} = \frac{\text{Area}}{\text{Breadth}} \]

Now, substituting the values:
\[ \text{Length} = \frac{5.4}{1.5} \]

Calculating this gives:
\[ \text{Length} = 3.6 \, m \]

### Step 2: Find the Perimeter of the Rectangle
The perimeter of a rectangle is given by the formula:
\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Breadth}) \]

Now, substituting the values we have:
- Length = \(3.6 \, m\)
- Breadth = \(1.5 \, m\)

So, we can calculate the perimeter:
\[ \text{Perimeter} = 2 \times (3.6 + 1.5) \]

Calculating the sum inside the parentheses:
\[ 3.6 + 1.5 = 5.1 \]

Now, substituting this back into the perimeter formula:
\[ \text{Perimeter} = 2 \times 5.1 = 10.2 \, m \]

### Final Answers
(i) Length = \(3.6 \, m\)
(ii) Perimeter = \(10.2 \, m\)

---