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The length and breadth of a hall are 24 ...

The length and breadth of a hall are 24 m and 20 m respectively. How many tiles of size 0.4 m x 0.3 m each are needed in flooring it?

A

1500

B

4000

C

3000

D

2500

Text Solution

AI Generated Solution

The correct Answer is:
To find out how many tiles are needed to floor the hall, we will follow these steps: ### Step 1: Calculate the area of the hall The area of a rectangle is calculated using the formula: \[ \text{Area} = \text{Length} \times \text{Breadth} \] Given: - Length of the hall = 24 m - Breadth of the hall = 20 m So, \[ \text{Area of the hall} = 24 \, \text{m} \times 20 \, \text{m} = 480 \, \text{m}^2 \] ### Step 2: Calculate the area of one tile The area of a tile is also calculated using the same formula: \[ \text{Area} = \text{Length} \times \text{Breadth} \] Given: - Length of the tile = 0.4 m - Breadth of the tile = 0.3 m So, \[ \text{Area of one tile} = 0.4 \, \text{m} \times 0.3 \, \text{m} = 0.12 \, \text{m}^2 \] ### Step 3: Calculate the number of tiles needed To find the number of tiles required, we divide the area of the hall by the area of one tile: \[ \text{Number of tiles} = \frac{\text{Area of the hall}}{\text{Area of one tile}} \] So, \[ \text{Number of tiles} = \frac{480 \, \text{m}^2}{0.12 \, \text{m}^2} \] Calculating this gives: \[ \text{Number of tiles} = 4000 \] ### Final Answer Therefore, **4000 tiles** are needed to floor the hall. ---
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