How many paving stones each measuring 2.5 m `xx` 2 mare required to pave the rectangular courtyard 30 m long and 16.5 m wide?

Answer

To find out how many paving stones are required to pave a rectangular courtyard, we will follow these steps:

### Step 1: Calculate the area of the courtyard.
The formula for the area of a rectangle is:
\[ \text{Area} = \text{Length} \times \text{Width} \]
For the courtyard:
- Length = 30 m
- Width = 16.5 m

Calculating the area:
\[ \text{Area of the courtyard} = 30 \, \text{m} \times 16.5 \, \text{m} = 495 \, \text{m}^2 \]

### Step 2: Calculate the area of one paving stone.
The dimensions of one paving stone are:
- Length = 2.5 m
- Width = 2 m

Using the area formula:
\[ \text{Area of one stone} = 2.5 \, \text{m} \times 2 \, \text{m} = 5 \, \text{m}^2 \]

### Step 3: Calculate the number of paving stones required.
To find the number of paving stones needed, divide the area of the courtyard by the area of one paving stone:
\[ \text{Number of stones} = \frac{\text{Area of the courtyard}}{\text{Area of one stone}} = \frac{495 \, \text{m}^2}{5 \, \text{m}^2} \]

Calculating the number of stones:
\[ \text{Number of stones} = 99 \]

### Final Answer:
99 paving stones are required to pave the rectangular courtyard.

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