The floor of a rectangular hall is 24 m long and 18 m wide .How many carpets , each of length 2.5 m and breadth 80 cm , will be required to cover the floor of the hall ?

Explanation

To determine how many carpets are needed to cover the floor of a rectangular hall, we will follow these steps:

### Step 1: Calculate the area of the hall
The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
Given:
- Length of the hall = 24 m
- Width of the hall = 18 m

Calculating the area:
\[ \text{Area of the hall} = 24 \, \text{m} \times 18 \, \text{m} = 432 \, \text{m}^2 \]

### Step 2: Calculate the area of one carpet
The area of a rectangle (carpet) is also calculated using the same formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
Given:
- Length of the carpet = 2.5 m
- Breadth of the carpet = 80 cm (which we need to convert to meters)

Converting breadth from cm to m:
\[ 80 \, \text{cm} = \frac{80}{100} \, \text{m} = 0.8 \, \text{m} \]

Now, calculating the area of the carpet:
\[ \text{Area of the carpet} = 2.5 \, \text{m} \times 0.8 \, \text{m} = 2.0 \, \text{m}^2 \]

### Step 3: Calculate the number of carpets required
To find the number of carpets needed, we divide the area of the hall by the area of one carpet:
\[ \text{Number of carpets} = \frac{\text{Area of the hall}}{\text{Area of one carpet}} = \frac{432 \, \text{m}^2}{2.0 \, \text{m}^2} = 216 \]

### Final Answer
The number of carpets required to cover the floor of the hall is **216**.

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