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
7.5 inches
7.5 inches
0.4 inches
0.4 inches
2.5 inches
2.5 inches
60 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
60 square centimeters
60 square centimeters
24 square centimeters
24 square centimeters
150 square centimeters
150 square centimeters
2.5 square centimeters
60 square centimeters
To find the area of the postcard after resizing, we need to use the proportion of the sides of the photo and the postcard to calculate the area.
Original photo:
Length = 6 cm
Width = 4 cm
Area = Length x Width = 6 cm x 4 cm = 24 square cm
Scale up factor for length = 15 cm / 6 cm = 2.5
Scale up factor for width = 15 cm / 4 cm = 3.75
After resizing, the new dimensions of the photo will be:
New Length = 6 cm x 2.5 = 15 cm
New Width = 4 cm x 3.75 = 15 cm
Now, find the area of the postcard:
Area of Postcard = New Length x New Width = 15 cm x 15 cm = 225 square cm
Therefore, the area of the postcard 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
0.75 square meters
0.75 square meters
1.33 square meters
1.33 square meters
3.5 square centimeters
3.5 square centimeters
12 square meters
12 square meters
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0.75 square meters
To find the area of the scale drawing, we need to use the proportion of the sides of the rectangle and the scale drawing to calculate the area.
Original rectangle:
Length = 4 meters
Width = 3 meters
Area = Length x Width = 4 meters x 3 meters = 12 square meters
Scale down factor for length = 1 meter / 4 meters = 0.25
After scaling down, the new dimensions of the scale drawing will be:
New Length = 4 meters x 0.25 = 1 meter
New Width = 3 meters x 0.25 = 0.75 meters
Now, find the area of the scale drawing:
Area of Scale Drawing = New Length x New Width = 1 meter x 0.75 meters = 0.75 square meters
Therefore, the area of the scale drawing 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
12 square inches
12 square inches
96 square inches
96 square inches
192 square inches
192 square inches
13 square meters
12 square inches
To find the area of the scale drawing, we need to use the proportion of the sides of the original poster and the scale drawing to calculate the area.
Original Poster:
Length = 36 inches
Width = 24 inches
Area = Length x Width = 36 inches x 24 inches = 864 square inches
Scale down factor for length = 8 inches / 24 inches = 0.3333
After scaling down, the new dimensions of the scale drawing will be:
New Length = 36 inches x 0.3333 = 12 inches
New Width = 24 inches x 0.3333 = 8 inches
Now, find the area of the scale drawing:
Area of Scale Drawing = New Length x New Width = 12 inches x 8 inches = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.