Find the Scale Factor
A rectangle is enlarged from 5 centimeters long to 15 centimeters long. What is the scale factor?
3
A drawing uses the scale 1 inch=5 feet. What does a 3-inch line represent?
15 feet
A map uses the scale
1 inch=20 miles
A road measures 2 inches on the map. What is its actual length?
40 miles
A real hallway is 24 feet long. On a blueprint, the scale is
1 inch=6 feet
How long is the hallway on the blueprint?
4 inches
On a treasure map, the scale is
1 inch=2 miles
The treasure is 4 inches from the starting point. How far away is it?
8 miles
A drawing is reduced using a scale factor of 1/4. A side that was 20 inches long becomes how long?
5 inches
On a map, 1 centimeter represents 10 kilometers. Two towns are 7 centimeters apart on the map. How far apart are they in real life?
70 km
A floor plan uses the scale
1 cm=3 m
The kitchen is 5 centimeters wide on the plan. What is its actual width
15 meters
A real road is 45 miles long. A map uses the scale
1 inch=15 miles
How long should the road be on the map?
3 inches
A blueprint shows a bedroom as 3 inches by 4 inches. The scale is
1 inch=5 feet
What are the actual dimensions of the bedroom?
15 feet by 20 feet
A model car is 4 inches long, while the actual car is 16 feet long. What is the scale factor from the model to the actual car after converting both measurements to inches?
48
A blueprint uses the scale 1 cm=2 m. A room is 8 meters long and 6 meters wide. What are its dimensions on the blueprint?
3 cm
A model airplane has a wingspan of 9 inches. The scale is
1 inch=8 feet
What is the actual wingspan?
72 feet
A building is 18 meters tall. A model uses the scale
1 cm=3 m
How tall is the model?
6 centimeters
A miniature train is built at a scale of
1 inch=12 feet
If the real train car is 36 feet long, how long should the miniature train car be?
3 inches
A figure has a side length of 18 units. Its image has a corresponding side length of 12 units. Is the figure enlarged or reduced, and what is the scale factor from the original to the image?
It is reduced; scale factor=2/3
A scale drawing of a triangular garden has side lengths of 4 inches, 5 inches, and 7 inches. The scale is
1 inch=6 feet
What are the actual side lengths?
actual sides are 24 ft, 30 ft, and 42 ft
A map has a scale of
1 cm=12 km
A hiking trail measures 6.5 centimeters on the map. How long is the trail in kilometers?
78 kilometers
A rectangular field is 80 yards long and 50 yards wide. A drawing uses the scale
1 inch=10 yards
What are the field’s dimensions in the drawing?
length= 8 inches and width= 5 inches
A map uses the scale
1 cm=25 km
A family drives from City A to City B, which are 8 centimeters apart on the map. They then drive to City C, another 5 centimeters away. What is the total distance traveled?
325 kilometers
Two similar rectangles have lengths of 14 centimeters and 35 centimeters. The shorter rectangle has a width of 8 centimeters. What is the width of the larger rectangle?
20 cm
A rectangular playground is 12 meters by 8 meters. Create a scale drawing using the scale
1 cm=2 m
What are the drawing’s dimensions, and what is its area?
6 cm by 4 cm; area=24 square cm
A rectangular swimming pool is shown on a blueprint as 7.5 centimeters long and 4 centimeters wide. The scale is
1 cm=4 m
What are the actual dimensions and area of the pool?
dimensions are 30 m by 16 m; area=480 square meters
A museum floor is 36 meters by 24 meters. An architect wants a scale drawing with a length of 9 centimeters. What scale should be used, and what will the width be on the drawing?
Hint: Scale should be written as 1 cm = _____
Scale 1cm=4m; width= 6 cm
An architect creates a scale model of a house using the scale
1 inch=4 feet
The actual house is 36 feet long, 28 feet wide, and 20 feet tall. What are the model’s dimensions, and what is the model’s floor area?