Question
Question 1
A)
Use the table to answer the question.
Town Town Actual Distance Between Towns
Bellstown Lewis City 120 km
Bellstown Jenkinsville 40 km
Jenkinsville Lewis City 60 km
Arturo creates a scale drawing showing these distances. If the distance between Lewis City and Bellstown is 6 centimeters on his drawing, how far apart are Lewis City and Jenkinsville on Arturo’s drawing?
(1 point)
Responses
2 centimeters
2 centimeters
3 centimeters
3 centimeters
12 centimeters
12 centimeters
0.05 centimeters
0.05 centimeters
Question 2
A)
Use the image to answer the question.
A parallelogram shows the longer side on the top measuring 9 inches and the shorter side on the right measuring 3 inches.
Tiyane makes a scale drawing of the parallelogram. The longer side of the parallelogram is 22.5 inches in her drawing. What is the length of the parallelogram’s shorter side in Tiyane’s scale drawing?
(1 point)
Responses
0.4 inches
0.4 inches
7.5 inches
7.5 inches
60 inches
60 inches
2.5 inches
2.5 inches
Question 3
A)Solve the following problem: Natalia prints a photo of a covered bridge. The print measures 6 centimeters by 4 centimeters. She wants to resize the photo into the size of a postcard with a length of 15 centimeters. What will be the area of the postcard?(1 point)
Responses
60 square centimeters
60 square centimeters
150 square centimeters
150 square centimeters
2.5 square centimeters
2.5 square centimeters
24 square centimeters
24 square centimeters
Question 4
A)
Use the image to answer the question.
An illustration shows a rectangle with a length of 4 meters and a width of 3 meters.
The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square meters?
(1 point)
Responses
3.5 square centimeters
3.5 square centimeters
1.33 square meters
1.33 square meters
12 square meters
12 square meters
0.75 square meters
0.75 square meters
Question 5
A)
Use the table to answer the question.
Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle, and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to hang up in the community center. He makes a scale drawing of the poster with the length of the top edge given in the table. What is the area of Alfredo’s scale drawing?
(1 point)
Responses
96 square inches
96 square inches
13 square meters
Start Fraction 1 over 3 end fraction square meters
192 square inches
192 square inches
12 square inches
12 square inches
A)
Use the table to answer the question.
Town Town Actual Distance Between Towns
Bellstown Lewis City 120 km
Bellstown Jenkinsville 40 km
Jenkinsville Lewis City 60 km
Arturo creates a scale drawing showing these distances. If the distance between Lewis City and Bellstown is 6 centimeters on his drawing, how far apart are Lewis City and Jenkinsville on Arturo’s drawing?
(1 point)
Responses
2 centimeters
2 centimeters
3 centimeters
3 centimeters
12 centimeters
12 centimeters
0.05 centimeters
0.05 centimeters
Question 2
A)
Use the image to answer the question.
A parallelogram shows the longer side on the top measuring 9 inches and the shorter side on the right measuring 3 inches.
Tiyane makes a scale drawing of the parallelogram. The longer side of the parallelogram is 22.5 inches in her drawing. What is the length of the parallelogram’s shorter side in Tiyane’s scale drawing?
(1 point)
Responses
0.4 inches
0.4 inches
7.5 inches
7.5 inches
60 inches
60 inches
2.5 inches
2.5 inches
Question 3
A)Solve the following problem: Natalia prints a photo of a covered bridge. The print measures 6 centimeters by 4 centimeters. She wants to resize the photo into the size of a postcard with a length of 15 centimeters. What will be the area of the postcard?(1 point)
Responses
60 square centimeters
60 square centimeters
150 square centimeters
150 square centimeters
2.5 square centimeters
2.5 square centimeters
24 square centimeters
24 square centimeters
Question 4
A)
Use the image to answer the question.
An illustration shows a rectangle with a length of 4 meters and a width of 3 meters.
The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square meters?
(1 point)
Responses
3.5 square centimeters
3.5 square centimeters
1.33 square meters
1.33 square meters
12 square meters
12 square meters
0.75 square meters
0.75 square meters
Question 5
A)
Use the table to answer the question.
Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle, and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to hang up in the community center. He makes a scale drawing of the poster with the length of the top edge given in the table. What is the area of Alfredo’s scale drawing?
(1 point)
Responses
96 square inches
96 square inches
13 square meters
Start Fraction 1 over 3 end fraction square meters
192 square inches
192 square inches
12 square inches
12 square inches
Answers
GPT-4o mini
Let's go through each question step-by-step:
### Question 1
**Actual Distances:**
- Bellstown to Lewis City = 120 km
- Bellstown to Jenkinsville = 40 km
- Jenkinsville to Lewis City = 60 km
**Scale Calculation:**
Given that the distance between Lewis City and Bellstown is represented as 6 cm in Arturo's drawing.
To find the scale, we can compare the actual distance to the drawing distance:
120 km -> 6 cm
**Scale = 6 cm / 120 km = 1 cm / 20 km**
Now, to find the distance between Lewis City and Jenkinsville in the scale drawing (60 km actual distance):
**60 km -> (60 km / 20 km) = 3 cm**
So the answer is:
**3 centimeters**
---
### Question 2
**Original Dimensions:**
- Longer side = 9 inches
- Shorter side = 3 inches
**Tiyane's Drawing:**
- Longer side = 22.5 inches
Calculate the scale factor:
**Scale factor = 22.5 inches (Tiyane's Drawing) / 9 inches (Original)**
**Scale factor = 2.5**
Now, apply the scale to the shorter side:
**Shorter side in drawing = 3 inches (Original) x 2.5 = 7.5 inches**
So the answer is:
**7.5 inches**
---
### Question 3
**Original Dimensions of the Photo:**
- Length = 6 cm
- Width = 4 cm
To calculate the area of the original photo:
**Area = Length x Width = 6 cm x 4 cm = 24 square centimeters**
Then Natalie resizes the length to 15 cm while maintaining the aspect ratio. To find the new width:
**Ratio: 6 cm (length) / 4 cm (width) = 15 cm / New Width**
Cross-multiplying to find the new width:
**6 x New Width = 15 x 4 => New Width = (15*4) / 6 = 10 cm**
Now find the area of the postcard:
**Area (postcard) = 15 cm x 10 cm = 150 square centimeters**
So the answer is:
**150 square centimeters**
---
### Question 4
**Original Dimensions:**
- Length = 4 meters
- Width = 3 meters
**Total Area = 4 m x 3 m = 12 square meters.**
**Tiyane's Scale Drawing:**
The longer side measures 1 meter.
**Scaling Factor = 1 m (Tiyane's Draw) / 4 m (Original) = 0.25**
Now, apply the scaling factor to the shorter side:
**Shorter side in drawing = 3 m (Original) x 0.25 = 0.75 m.**
**Area of the Scale Drawing = Length x Width = 1 m x 0.75 m = 0.75 square meters.**
So the answer is:
**0.75 square meters**
---
### Question 5
**Original Dimensions:**
- Left edge = 36 inches
- Top edge = 24 inches
**Scale Drawing (Top Edge):**
- Top edge in scale = 8 inches.
**Calculate the Scale:**
**Scale = 8 inches (Top edge in scale drawing) / 24 inches (Original Top edge) = 1/3.**
Now, calculate the left edge based on this scale:
**Left edge in scale = 36 inches (Original) x (1/3) = 12 inches.**
Now, calculate the area of Alfredo's scale drawing:
**Area = Length x Width = 12 inches x 8 inches = 96 square inches.**
So the answer is:
**96 square inches**
---
In summary, the answers are:
1. 3 centimeters
2. 7.5 inches
3. 150 square centimeters
4. 0.75 square meters
5. 96 square inches
### Question 1
**Actual Distances:**
- Bellstown to Lewis City = 120 km
- Bellstown to Jenkinsville = 40 km
- Jenkinsville to Lewis City = 60 km
**Scale Calculation:**
Given that the distance between Lewis City and Bellstown is represented as 6 cm in Arturo's drawing.
To find the scale, we can compare the actual distance to the drawing distance:
120 km -> 6 cm
**Scale = 6 cm / 120 km = 1 cm / 20 km**
Now, to find the distance between Lewis City and Jenkinsville in the scale drawing (60 km actual distance):
**60 km -> (60 km / 20 km) = 3 cm**
So the answer is:
**3 centimeters**
---
### Question 2
**Original Dimensions:**
- Longer side = 9 inches
- Shorter side = 3 inches
**Tiyane's Drawing:**
- Longer side = 22.5 inches
Calculate the scale factor:
**Scale factor = 22.5 inches (Tiyane's Drawing) / 9 inches (Original)**
**Scale factor = 2.5**
Now, apply the scale to the shorter side:
**Shorter side in drawing = 3 inches (Original) x 2.5 = 7.5 inches**
So the answer is:
**7.5 inches**
---
### Question 3
**Original Dimensions of the Photo:**
- Length = 6 cm
- Width = 4 cm
To calculate the area of the original photo:
**Area = Length x Width = 6 cm x 4 cm = 24 square centimeters**
Then Natalie resizes the length to 15 cm while maintaining the aspect ratio. To find the new width:
**Ratio: 6 cm (length) / 4 cm (width) = 15 cm / New Width**
Cross-multiplying to find the new width:
**6 x New Width = 15 x 4 => New Width = (15*4) / 6 = 10 cm**
Now find the area of the postcard:
**Area (postcard) = 15 cm x 10 cm = 150 square centimeters**
So the answer is:
**150 square centimeters**
---
### Question 4
**Original Dimensions:**
- Length = 4 meters
- Width = 3 meters
**Total Area = 4 m x 3 m = 12 square meters.**
**Tiyane's Scale Drawing:**
The longer side measures 1 meter.
**Scaling Factor = 1 m (Tiyane's Draw) / 4 m (Original) = 0.25**
Now, apply the scaling factor to the shorter side:
**Shorter side in drawing = 3 m (Original) x 0.25 = 0.75 m.**
**Area of the Scale Drawing = Length x Width = 1 m x 0.75 m = 0.75 square meters.**
So the answer is:
**0.75 square meters**
---
### Question 5
**Original Dimensions:**
- Left edge = 36 inches
- Top edge = 24 inches
**Scale Drawing (Top Edge):**
- Top edge in scale = 8 inches.
**Calculate the Scale:**
**Scale = 8 inches (Top edge in scale drawing) / 24 inches (Original Top edge) = 1/3.**
Now, calculate the left edge based on this scale:
**Left edge in scale = 36 inches (Original) x (1/3) = 12 inches.**
Now, calculate the area of Alfredo's scale drawing:
**Area = Length x Width = 12 inches x 8 inches = 96 square inches.**
So the answer is:
**96 square inches**
---
In summary, the answers are:
1. 3 centimeters
2. 7.5 inches
3. 150 square centimeters
4. 0.75 square meters
5. 96 square inches