https://file.aiquickdraw.com/mathbot/file/172269674021757mfv8ir.jpg

https://file.aiquickdraw.com/mathbot/file/17226967402179xvvtdjc.jpg

Let's solve the problems in the images one by one.

### Image 1:
The problem states:
> Each poster will be framed with green adhesive tape. The mayor has 75 m of green tape. She thinks this will be enough to go around all the posters. Is she right? Explain your answer.

First, we need to determine the dimensions of each poster and the number of posters to calculate the total perimeter that needs to be taped.

From the second image, we see the dimensions of a poster:
- Height: 85 cm
- Width: 2.1 × 5 cm = 10.5 cm (assuming it's a typo and should be 105 cm)

To calculate the perimeter of one poster:
\[ P = 2 \times (\text{Height} + \text{Width}) = 2 \times (85 \, \text{cm} + 105 \, \text{cm}) = 2 \times 190 \, \text{cm} = 380 \, \text{cm} \]

The number of posters is given in the pie chart:
- 6 posters on History
- 4 posters on Science
- 2 posters on Geography
- 3 posters on Technology
- 5 posters on Other

Total number of posters:
\[ 6 + 4 + 2 + 3 + 5 = 20 \]

To find the total length of tape required:
\[ \text{Total tape} = 20 \times 380 \, \text{cm} = 7600 \, \text{cm} \]

Convert 7600 cm to meters:
\[ 7600 \, \text{cm} = 76 \, \text{m} \]

The mayor has 75 meters of tape, but 76 meters are needed. So, she is not right; she does not have enough tape.

### Image 2:
The pie chart shows the number of students choosing different topics:
- History: 25%
- Science: 20%
- Geography: 10%
- Technology: 15%
- Other: 30%

The poster dimensions and calculations have already been included above.

### Summary:
- **Total length of tape needed**: 76 meters
- **Total tape available**: 75 meters
- **Conclusion**: The mayor does not have enough tape.

Would you like more details or have any questions?

### Related Questions:
1. What is the perimeter formula for a rectangle?
2. How do you convert centimeters to meters?
3. What percentage of students chose History as their topic?
4. If the width of the poster was mistakenly written, what would be the corrected width?
5. How many meters of tape would be needed if there were only 10 posters?
6. What is the area of one poster in square centimeters?
7. How would the total tape requirement change if the dimensions of the posters were different?
8. Can you determine the total area covered by all the posters?

### Tip:
When working with units, always ensure to convert them correctly to maintain consistency and accuracy in calculations.

Learn how to calculate the total length of green tape required to frame posters based on given dimensions and quantities. Includes detailed calculations for perimeter, unit conversion from centimeters to meters, and percentage breakdown of poster topics. Suitable for high school students.

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