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
3 centimeters
3 centimeters
12 centimeters
12 centimeters
2 centimeters
2 centimeters
0.05 centimeters
0.05 centimeters
The correct answer is 12 centimeters.
If the distance between Lewis City and Bellstown is 6 centimeters on the drawing, then the distance between Lewis City and Jenkinsville would be twice that distance on the drawing. Therefore, Jenkinsville would be 12 centimeters away from Lewis City on Arturo's drawing.
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
0.4 inches
0.4 inches
7.5 inches
7.5 inches
60 inches
The correct answer is 7.5 inches.
Since we know that the ratio between the lengths of the sides in the scale drawing is the same as the ratio in the actual parallelogram, we can set up the following proportion:
9 inches (actual shorter side) / 3 inches (actual longer side) = x inches (scale shorter side) / 22.5 inches (scale longer side).
Solving for x:
9 / 3 = x / 22.5
3 = x / 22.5
x = 3 * 22.5
x = 67.5.
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 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
24 square centimeters
24 square centimeters
60 square centimeters
60 square centimeters
150 square centimeters
150 square centimeters
2.5 square centimeters
2.5 square centimeters
The correct answer is 60 square centimeters.
To resize the photo into the size of a postcard with a length of 15 centimeters, we need to maintain the aspect ratio of the original photo.
The original photo measuring 6 cm by 4 cm has an area of 6 cm * 4 cm = 24 square cm.
To find the area of the postcard when the length is 15 cm, we need to find the width of the postcard by maintaining the aspect ratio:
15 cm / 6 cm = 2.5.
So, the width of the postcard would be 15 cm * (4 cm / 6 cm) = 10 cm.
The area of the postcard would be:
15 cm * 10 cm = 150 square cm.
Therefore, the area of the postcard would be 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
12 square meters
12 square meters
0.75 square meters
0.75 square meters
1.33 square meters
1.33 square meters
3.5 square centimeters
The correct answer is 0.75 square meters.
To calculate the area of the scale drawing, we need to find the scale factor first. The scale factor can be found by dividing the actual length of the longer side of the rectangle by the length of the longer side in the scale drawing, since the scale drawing's longer side measures 1 meter:
Scale factor = 4 meters / 1 meter = 4
Now, we can find the width of the scale drawing by using the scale factor:
Width of the scale drawing = Width of actual rectangle / Scale factor
Width of the scale drawing = 3 meters / 4 = 0.75 meters
Now, we can calculate the area of the scale drawing by multiplying the length and width of the scale drawing:
Area of the scale drawing = Length of the scale drawing * Width of the scale drawing
Area of the scale drawing = 1 meter * 0.75 meters = 0.75 square meters
Therefore, the area of the scale drawing in square meters 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
13 square meters
Start Fraction 1 over 3 end fraction square meters
96 square inches
96 square inches
192 square inches
192 square inches
12 square inches
To find the area of Alfredo's scale drawing, we first need to find the dimensions of the scale drawing. Since the length of the top edge in the scale drawing is given as 8 inches, we need to determine the corresponding length of the left edge in the scale drawing.
To do that, we need to set up a proportion using the dimensions of the original poster and the scale drawing:
36 inches (original left edge) / 24 inches (original top edge) = x (scale left edge) / 8 inches (scale top edge)
Solving for x:
36/24 = x/8
x = (36/24) * 8
x = 12 inches
Now that we have the dimensions of the scale drawing (12 inches by 8 inches), we can find the area:
Area = Length * Width
Area = 12 inches * 8 inches
Area = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.