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An area of rectangular floor with dimens...

An area of rectangular floor with dimensions 90 cm and 40 cm is to be paved with square tiles of side 20 cm. How many such tiles will be required ?

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To find out how many square tiles are required to pave a rectangular floor, we will follow these steps: ### Step 1: Calculate the area of the rectangular floor. The area of a rectangle can be calculated using the formula: \[ \text{Area} = \text{Length} \times \text{Breadth} \] Given: - Length (L) = 90 cm - Breadth (B) = 40 cm Calculating the area: \[ \text{Area} = 90 \, \text{cm} \times 40 \, \text{cm} = 3600 \, \text{cm}^2 \] ### Step 2: Calculate the area of one square tile. The area of a square can be calculated using the formula: \[ \text{Area} = \text{Side}^2 \] Given: - Side of the square tile = 20 cm Calculating the area: \[ \text{Area} = 20 \, \text{cm} \times 20 \, \text{cm} = 400 \, \text{cm}^2 \] ### Step 3: Calculate the number of tiles required. To find the number of tiles needed, we divide the area of the rectangular floor by the area of one square tile: \[ \text{Number of tiles} = \frac{\text{Area of rectangular floor}}{\text{Area of one square tile}} \] Calculating the number of tiles: \[ \text{Number of tiles} = \frac{3600 \, \text{cm}^2}{400 \, \text{cm}^2} = 9 \] ### Final Answer: Therefore, the number of square tiles required is **9**. ---
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