Scaled Copies
Scaled Drawings Word Probs.
Perimeter
Scale Factor
Mixed Review
100
Are the following scaled copies. Explain why or why not.
No
100
Suppose a dollhouse is built using a scale of 1 : 12. The porch on the dollhouse is 6 inches high. How high is the actual porch of the house?
72 inches or 6 feet
100
Explain how the perimeter changes when a scale factor is applied
The perimeter of the original is multiplied by the scale factor.
100
The scale factor for a model car is 24. What does this mean?
That the actual car is 24 times larger than the model car
100
An automobile 16 feet long; Suppose there is a scale drawing where 1 foot:6 inches. How long would the drawing be?
96 inches.
200
Which ones are a scaled copy of figure A?
B and C
200
A map has a scale of 1cm represents 50 m.The distance between two shops on the map is 4.5 cm.
What is the actual distance between the shops?
225 m .
or
22500 cm.
200
If the original image has a perimeter of 30 and the scale factor is 5. What would the perimeter of the copy image be?
150
200
What is the scale factor?
1.5
200
Ed earned $112 for 8 hours of work. At this rate, how much will he earn for 40 hours of work?
$560
300
Figure 2 and Figure 4
300
A map of Lewiston has a scale of 1cm to 50m. If it was 5cm long on the map, how many meters would it be in the city of Lewiston?
5cm to 250m
300
Suppose the perimeter of a square is 4 inches and its copy has a scale factor of 12. What would the new perimeter be?
48 inches
300
Which scale would produce the largest scale drawing of an object when compared to the actual object? Explain your reasoning.
a) 1 in. : 25 in.
b) 1 cm : 1 m
c) 1 in. : 1 ft
b) 1cm : 1 meter, because there are 100 cm in 1 meter.
300
A flag is 5 feet wide; Using the scale 2 inches = 1 foot, how long would the drawing be?
10 inches
400
Which of the following is not a scaled copy. Explain your reasoning.
Copy 3 is not a scaled copy because...
400
A model of a barn has been constructed using a scale of 1 to 48. If the model’s silo is 18 inches high, how high is the actual silo?
864 inches or 72 feet
400
A triangle has the side length 3, 4, 5. If it was enlarged by a scale factor of 3. What would the new perimeter be?
36
400
Given a scale of 5/4 , explain how you can tell whether the drawing is bigger or smaller than the actual object.
The object is larger. We know this because 5/4 is greater than one.
400
A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.
The map with a scale of 1 inch to 500 feet. It takes twice the number of units on this map to represent the same actual distance covered by the other map. For example, on the 1 inch to 1,000 feet map, it takes 1 inch to represent 1,000 feet in the actual park. On the 1 inch to 500 feet map, it takes 2 inches to represent the same 1,000 feet in the park.
500
Are the figures scaled copies? If so, what is the scale factor?
yes, the scale factor is 3.
500
Mitch measured the elementary school and made a scale drawing. He used the scale 1 millimeter : 6 meters. If the actual length of the school yard is 192 meters, how long is the school yard in the drawing?
32 millimeters.
500
On a map with a scale of 1 inch to 12 feet, the perimeter of a restaurant is 60 in. Han says that the actual perimeter of the restaurant is 720 ft. Do you agree or disagree? Explain your reasoning.
Agree.
When you multiply 12x60 it equals 720.
500
A man in a photograph is 2 inches in height. If the man is 6 feet tall, what is the scale factor?
1in to 3ft
500
10 cm = 1 m
650 cm = ____ m
6.5 meters