The number of paving stones each measuring 10 dm by 9 dm required to pave a rectangular veranda 60 m by 6 m is____

Options

A. 360
B. 400
C. 350
D. 300

Answer

To find the number of paving stones required to pave a rectangular veranda, we can follow these steps:

### Step 1: Convert the dimensions of the veranda from meters to decimeters.
- The dimensions of the veranda are given as 60 m by 6 m.
- Since 1 meter = 10 decimeters, we convert:
- Length = 60 m = 60 × 10 = 600 dm
- Width = 6 m = 6 × 10 = 60 dm

### Step 2: Calculate the area of the veranda.
- The area of a rectangle is given by the formula: Area = Length × Width.
- Therefore, the area of the veranda = 600 dm × 60 dm = 36,000 dm².

### Step 3: Calculate the area of one paving stone.
- The dimensions of one paving stone are given as 10 dm by 9 dm.
- The area of one paving stone = 10 dm × 9 dm = 90 dm².

### Step 4: Calculate the number of paving stones required.
- To find the number of paving stones needed, we divide the total area of the veranda by the area of one paving stone:
- Number of paving stones = Area of veranda / Area of one paving stone
- Number of paving stones = 36,000 dm² / 90 dm² = 400.

### Final Answer:
The number of paving stones required to pave the rectangular veranda is **400**.

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