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)
• 192 square inches
• 12 square inches
• 96 square inches
1 square meters
To find the area of Alfredo's scale drawing, we need to first find the scale factor. The scale factor is the ratio of the dimensions of the original poster to the dimensions of the scale drawing.
In this case, the original poster has a top edge of 24 inches and Alfredo's scale drawing has a top edge of 8 inches.
So, the scale factor is 24/8 = 3.
To find the dimensions of Alfredo's scale drawing, we need to divide the original dimensions by 3.
Original length: 36 inches / 3 = 12 inches
Original width: 24 inches / 3 = 8 inches
Now, to find the area of Alfredo's scale drawing, we multiply the length by the width:
Area = 12 inches * 8 inches = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.
Use the image to answer the question.
3 m
4 m
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)
O 0.75 square meters
• 12 square meters
• 3.5 square centimeters
• 1.33 square meters
To find the area of the campsite's scale drawing, we need to first find the scale factor. The original longer side of the campsite is 4 meters, while the longer side in Anna's scale drawing is 1 meter.
So, the scale factor is 4/1 = 4.
Next, we need to find the dimensions of the scale drawing by dividing the original dimensions by the scale factor:
Original shorter side: 3 meters / 4 = 0.75 meters
Original longer side: 4 meters / 4 = 1 meter
Now, to find the area of the scale drawing, we multiply the new dimensions:
Area = 0.75 meters * 1 meter = 0.75 square meters
Therefore, the area of Anna's scale drawing of the campsite is 0.75 square meters.
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)
• 24 square centimeters
• 60 square centimeters
• 150 square centimeters
• 2.5 square centimeters
To find the area of the postcard after resizing the photo, we need to use the concept of scaling.
The original dimensions of the photo are 6 cm by 4 cm.
The original photo area = 6 cm * 4 cm = 24 square cm.
The length of the postcard will be 15 cm. We need to find the proportional width of the postcard using the original dimensions.
Scaling factor = New length / Original length = 15 cm / 6 cm = 2.5
New width = Original width * Scaling factor = 4 cm * 2.5 = 10 cm
Now, to find the area of the postcard:
Postcard area = 15 cm * 10 cm = 150 square cm.
Therefore, the area of the postcard will be 150 square centimeters.
Use the image to answer the question.
9 in.
3 in.
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)
• 7.5 inches
• 2.5 inches
• 60 inches
• 0.4 inches
In order to find the length of the parallelogram's shorter side in Tiyane's scale drawing, we need to determine the scale factor first.
The original length of the parallelogram is 9 inches, and in Tiyane's scale drawing, the longer side is 22.5 inches.
Scale factor = 22.5 inches / 9 inches = 2.5
Now, to find the length of the shorter side in Tiyane's scale drawing, we need to calculate:
Shorter side in Tiyane's drawing = Original shorter side / Scale factor
Shorter side in Tiyane's drawing = 3 inches / 2.5
Shorter side in Tiyane's drawing = 1.2 inches
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 1.2 inches.
answers are 7.5 2.5 60 or 0.4
To find the length of the parallelogram's shorter side in Tiyane's scale drawing, we use the ratio of the lengths in the original parallelogram and the scaled drawing.
The original parallelogram has a longer side of 9 inches and a shorter side of 3 inches. Tiyane's scale drawing has a longer side of 22.5 inches.
The scale factor is the ratio of the lengths of the longer sides in the original and scaled drawings:
Scale factor = 22.5 inches / 9 inches = 2.5
Now, we scale down the original shorter side length to find the length of the shorter side in Tiyane's drawing:
Shorter side in Tiyane's drawing = Original shorter side / Scale factor
Shorter side in Tiyane's drawing = 3 inches / 2.5
Shorter side in Tiyane's drawing = 1.2 inches
Therefore, the length of the parallelogram's shorter side in Tiyane's scale drawing is 1.2 inches. The closest option from the ones given is 2.5 inches.
Use the table to answer the question.
Town
Bellstown
Bellstown
Town
Actual Distance Between Towns
Lewis City 120 km
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)
• 0.05 centimeters
• 2 centimeters
• 3 centimeters
• 12 centimeters