To determine the number of flat paving bricks needed to pave the identified rectangular space for the morning assembly, we need to first calculate the area of the space and then relate that area to the size of the paving bricks.
Step 1: Calculate the area of the rectangular space
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{length} \times \text{width} \]
Substituting the given dimensions:
\[ A = 17 , \text{meters} \times 9 , \text{meters} = 153 , \text{square meters} \]
Step 2: Determine the size of each paving brick
We need to know the dimensions of a flat paving brick in order to calculate how many bricks are required. For illustrative purposes, let's assume that each paving brick has a standard size of 0.2 meters by 0.1 meters (20 cm by 10 cm).
Step 3: Calculate the area of one paving brick
Using the dimensions of the brick:
\[ \text{Area of one paving brick} = \text{length} \times \text{width} = 0.2 , \text{meters} \times 0.1 , \text{meters} = 0.02 , \text{square meters} \]
Step 4: Calculate the number of paving bricks needed
To find the number of paving bricks required, we divide the total area to be paved by the area of one paving brick:
\[ \text{Number of paving bricks} = \frac{\text{Total area to be paved}}{\text{Area of one paving brick}} = \frac{153 , \text{square meters}}{0.02 , \text{square meters}} = 7650 , \text{bricks} \]
Conclusion
To pave the total area of 153 square meters, you would need 7,650 paving bricks, assuming each brick has an area of 0.02 square meters.
Step 5: Calculate the overall paving cost
To calculate the paving cost, we multiply the total area by the cost per square meter:
\[ \text{Total paving cost} = \text{Area} \times \text{Cost per square meter} = 153 , \text{square meters} \times R22 , \text{per square meter} = R3366 \]
Summary
- Number of paving bricks needed: 7,650
- Total paving cost: R3,366
These calculations provide a comprehensive understanding of the number of bricks and the cost associated with paving the assembly space.
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