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
0.05 centimeters
0.05 centimeters
12 centimeters
12 centimeters
3 centimeters
3 centimeters
2 centimeters
2 centimeters
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
2.5 inches
2.5 inches
60 inches
60 inches
7.5 inches
7.5 inches
0.4 inches
0.4 inches
7.5 inches
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
150 square centimeters
150 square centimeters
24 square centimeters
24 square centimeters
2.5 square centimeters
2.5 square centimeters
60 square centimeters
The area of Natalia's print is 6 cm x 4 cm = 24 square cm.
When resizing it to a length of 15 cm while maintaining the same proportions, the new width would be 15 cm * (4 cm / 6 cm) = 10 cm.
Thus, the area of the resized photo/postcard would be 15 cm x 10 cm = 150 square cm.
Therefore, the correct response is:
150 square centimeters
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
0.75 square meters
0.75 square meters
12 square meters
12 square meters
1.33 square meters
1.33 square meters
Since the original rectangle has a length of 4 meters and a width of 3 meters, the area is 4 meters x 3 meters = 12 square meters.
If in the scale drawing the longer side measures 1 meter, the proportional width would be 1 meter x (3 meters / 4 meters) = 0.75 meters.
So, the area of the scale drawing would be 1 meter x 0.75 meters = 0.75 square meters.
Therefore, the correct response is:
0.75 square meters
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
192 square inches
192 square inches
13 square meters
Start Fraction 1 over 3 end fraction square meters
12 square inches
To find the missing value for the left edge in Alfredo's scale drawing, we need to calculate the proportion of the dimensions from the original to the scale drawing.
Given that the scale of the top edge is 24 inches to 8 inches and the left edge of the original poster is 36 inches, we can calculate the scale value for the left edge as follows:
8 inches (scale top edge) is to 24 inches (original top edge) as x inches (scale left edge) is to 36 inches (original left edge).
8/24 = x/36
x = (8/24) * 36
x = 24 * 36
x = 12 inches
Therefore, the dimensions of Alfredo's scale drawing are:
Width: 12 inches
Height: 8 inches
The area of the scale drawing is:
12 inches x 8 inches = 96 square inches
Therefore, the correct response is:
96 square inches