Question
your school is governing body has identified a space in front of the classes to be paved for morning assembly purposes. The space identified is rectangular and has width of 9 meters and length of 17 meters.
you are expected to conduct a research in order to determine the number of flat paving bricks needed for paving the identified space and the paving cost if the paving cost if the paving company charges R22 Per square metres.
1. calculate the area of the paving brick in millimeters
you are expected to conduct a research in order to determine the number of flat paving bricks needed for paving the identified space and the paving cost if the paving cost if the paving company charges R22 Per square metres.
1. calculate the area of the paving brick in millimeters
Answers
GPT-4o mini
To calculate the area of the rectangular space that needs to be paved, we first need to find the area in square meters and then convert that to square millimeters.
### Step 1: Calculate the area in square meters
The formula for the area \(A\) of a rectangle is:
\[
A = \text{Length} \times \text{Width}
\]
Given:
- Length = 17 meters
- Width = 9 meters
\[
A = 17 \, \text{m} \times 9 \, \text{m} = 153 \, \text{m}^2
\]
### Step 2: Convert the area from square meters to square millimeters
Since 1 meter = 1000 millimeters, we need to convert square meters to square millimeters:
\[
1 \, \text{m}^2 = (1000 \, \text{mm}) \times (1000 \, \text{mm}) = 1,000,000 \, \text{mm}^2
\]
Now we can convert \(153 \, \text{m}^2\) to square millimeters:
\[
A = 153 \, \text{m}^2 \times 1,000,000 \, \text{mm}^2/\text{m}^2 = 153,000,000 \, \text{mm}^2
\]
### Conclusion
The area of the paving space in square millimeters is:
\[
\text{Area} = 153,000,000 \, \text{mm}^2
\]
### Step 1: Calculate the area in square meters
The formula for the area \(A\) of a rectangle is:
\[
A = \text{Length} \times \text{Width}
\]
Given:
- Length = 17 meters
- Width = 9 meters
\[
A = 17 \, \text{m} \times 9 \, \text{m} = 153 \, \text{m}^2
\]
### Step 2: Convert the area from square meters to square millimeters
Since 1 meter = 1000 millimeters, we need to convert square meters to square millimeters:
\[
1 \, \text{m}^2 = (1000 \, \text{mm}) \times (1000 \, \text{mm}) = 1,000,000 \, \text{mm}^2
\]
Now we can convert \(153 \, \text{m}^2\) to square millimeters:
\[
A = 153 \, \text{m}^2 \times 1,000,000 \, \text{mm}^2/\text{m}^2 = 153,000,000 \, \text{mm}^2
\]
### Conclusion
The area of the paving space in square millimeters is:
\[
\text{Area} = 153,000,000 \, \text{mm}^2
\]