If the area of a rectangle is 320 sq. m and its length is 20 m, find its breadth and perimeter.

Answer

To solve the problem step by step, we will first find the breadth of the rectangle using the area formula, and then we will calculate the perimeter.

### Step 1: Understand the formula for the area of a rectangle.
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{length} \times \text{breadth} \]

### Step 2: Substitute the known values into the area formula.
We know the area \( A = 320 \, \text{sq. m} \) and the length \( L = 20 \, \text{m} \). We can substitute these values into the formula:
\[ 320 = 20 \times \text{breadth} \]

### Step 3: Solve for the breadth.
To find the breadth, we will rearrange the equation:
\[ \text{breadth} = \frac{320}{20} \]
Calculating this gives:
\[ \text{breadth} = 16 \, \text{m} \]

### Step 4: Calculate the perimeter of the rectangle.
The formula for the perimeter \( P \) of a rectangle is:
\[ P = 2 \times (\text{length} + \text{breadth}) \]
Substituting the known values:
\[ P = 2 \times (20 + 16) \]

### Step 5: Simplify the expression for the perimeter.
Calculating inside the parentheses first:
\[ P = 2 \times 36 \]
Now, multiplying:
\[ P = 72 \, \text{m} \]

### Final Answer:
- The breadth of the rectangle is \( 16 \, \text{m} \).
- The perimeter of the rectangle is \( 72 \, \text{m} \).

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