Latika wants to put a border around her bedsheet of length 10 m and breadth 5 m 60 cm. Find the total cost of the border required at the rate of Rs 90 per metre.

Options

A. Rs 2808
B. Rs 2505
C. Rs 2408
D. Rs 2605

Answer

To find the total cost of the border required for Latika's bedsheet, we will first calculate the perimeter of the bedsheet and then determine the cost based on the rate provided.

### Step 1: Convert the dimensions to the same unit
The length of the bedsheet is given as 10 m, and the breadth is given as 5 m 60 cm. We need to convert the breadth into meters.

- **Convert 60 cm to meters:**
\[ 60 \text{ cm} = \frac{60}{100} \text{ m} = 0.6 \text{ m} \]

- **Now, add this to the breadth:**
\[ \text{Breadth} = 5 \text{ m} + 0.6 \text{ m} = 5.6 \text{ m} \]

### Step 2: Calculate the perimeter of the bedsheet
The formula for the perimeter \( P \) of a rectangle is given by:
\[ P = 2 \times (\text{Length} + \text{Breadth}) \]

- **Substituting the values:**
\[ P = 2 \times (10 \text{ m} + 5.6 \text{ m}) = 2 \times 15.6 \text{ m} = 31.2 \text{ m} \]

### Step 3: Calculate the total cost of the border
The cost of the border is given at the rate of Rs 90 per meter. To find the total cost, we multiply the perimeter by the cost per meter.

- **Total cost calculation:**
\[ \text{Total Cost} = \text{Perimeter} \times \text{Cost per meter} = 31.2 \text{ m} \times 90 \text{ Rs/m} \]
\[ \text{Total Cost} = 2808 \text{ Rs} \]

### Final Answer
The total cost of the border required is **Rs 2808**.

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