Scale Basics
A map uses the scale 1 inch = 5 miles. What does the 1 represent?
1 inch on the drawing/map
Are the scales 1:5 and 2:10 equivalent?
Yes
A drawing uses the scale 1 cm = 3 m. A line on the drawing is 5 cm long. What is the actual length?
15 m
A wall is actually 30 feet long. The scale is 1 inch = 5 feet. How long should the wall be on the drawing?
6 inches
A square on a scale drawing is 5 cm × 5 cm. The scale is 1 cm = 2 m. What is the actual area?
100 m²
A drawing uses the scale 1 cm = 4 m. Write this scale without units.
1:400
Are the scales 3:8 and 6:16 equivalent?
Yes
A floor plan uses the scale 1 inch = 6 feet. A room is 4 inches long on the drawing. How long is the actual room?
24 ft
A road is actually 42 miles long. A map uses the scale 1 inch = 7 miles. How long should the road be on the map?
6 inches
A rectangle on a drawing measures 4 cm × 7 cm. The scale is 1 cm = 3 m. What is the actual area?
252 m²
A blueprint uses the scale 1 inch = 8 feet. Write the scale as a ratio without units.
1:96
Are the scales 2:7 and 6:20 equivalent?
No
A map uses the scale 1 inch = 7 miles. A road measures 6 inches on the map. What is the actual length of the road?
42 miles
A table is actually 8 feet long. A drawing uses the scale 1 inch = 2 feet. How long should the table be on the drawing?
4 inches
A rectangular room measures 6 inches × 8 inches on a floor plan. The scale is 1 inch = 4 feet. What is the actual area of the room?
768 ft²
A map uses the scale 1 cm = 5 km. Write this scale as a ratio without units.
1:500,000
Are the scales 4:9 and 12:27 equivalent? Explain how you know.
Yes. Both simplify to 4:9.
A scale drawing uses the ratio 1:25. A table measures 4 inches on the drawing. What is its actual length?
100 inches
A building is 180 feet long. An architect uses the scale 1 inch = 15 feet. How long will the building be on the drawing?
12 inches
A square playground has an actual side length of 30 meters. A scale drawing uses 1 cm = 5 m. What is the area of the playground on the drawing?
36 cm²
A scale drawing uses 2 cm = 15 m. Write the scale as a ratio without units in simplest form.
1:750
Which of the following scales are equivalent to 3:8? A. 6:16 B. 9:24 C. 12:30 D. 15:40
A, B, and D
A blueprint uses the scale 1 inch = 12 feet. A building is represented by a line that is 7.5 inches long. What is the actual length of the building?
90 feet
A rectangular swimming pool is 40 feet long and 20 feet wide. A scale drawing uses 1 inch = 5 feet. What will the dimensions of the pool be on the drawing?
8 inches × 4 inches
A rectangular park is 120 m × 80 m. A scale drawing uses 1 cm = 10 m. What are the dimensions and area of the drawing?
12 cm × 8 cm; 96 cm²