Hall Floor Area Calculation
The dimensions of the rectangular hall floor are given:
- Length ($L_{hall}$) = $30 \text{ m}$
- Breadth ($B_{hall}$) = $24 \text{ m}$
The area of the hall floor is calculated as:
$Areahall = $L_{hall} \times B_{hall} = 30 \text{ m} \times 24 \text{ m} = 720 \text{ m}^2$
Carpet Area Calculation
The dimensions of each carpet are:
- Length ($L_{carpet}$) = $6 \text{ m}$
- Breadth ($B_{carpet}$) = $4 \text{ m}$
The area of one carpet is calculated as:
$Areacarpet = $L_{carpet} \times B_{carpet} = 6 \text{ m} \times 4 \text{ m} = 24 \text{ m}^2$
Number of Carpets Required
To find the total number of carpets needed to cover the hall floor, divide the total area of the floor by the area of a single carpet.
$Number of carpets = $\frac{\text{Area}_{hall}}{\text{Area}_{carpet}}$
$Number of carpets = $\frac{720 \text{ m}^2}{24 \text{ m}^2} = 30$
Therefore, 30 carpets are required to cover the floor.
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