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Scale Drawings

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  • Scale drawing: An enlarged or reduced drawing that is similar to an actual object or place
  • The scale is the ratio of the two

The scale of a map is 2 in : 60 mi. If it is 200 mi between two cities, how many inches is it apart on the map?

  • [2/50] = [x/200]
  • 2 ·200 = 50x
  • 400 = 50x
  • [400/50] = [50x/50]
  • [400/50] = x

8 inches

The scale of a map is 3 in : 30 mi. If it is 300 mi between two cities, how many inches is it apart on the map?

  • [3/30] = [x/300]
  • 3 ·300 = 30x
  • 900 = 30x
  • [900/30] = [30x/30]
  • [900/30] = x

30 inches

The scale of a map is 2 in : 10 mi. If it is 300 mi between two cities, how many inches is it apart on the map?

  • [2/10] = [x/300]
  • 2 ·300 = 10x
  • 600 = 30x
  • [600/30] = [30x/30]
  • [600/30] = x

20 inches

The scale drawing of King Kong is 1 in : 3 ft. If King Kong is 72 ft tall, how tall is he in the drawing?

  • [l/3] = [x/72]
  • 72 = 3x
  • [72/3] = [3x/3]
  • [72/3] = x

24 inches

The scale drawing of Godzilla is 2 in : 3 ft. If Godzilla is 45 ft tall, how tall is he in the drawing?

  • [l/3] = [x/45]
  • 90 = 3x
  • [90/3] = [3x/3]
  • [90/3] = x

30 inches

The scale drawing of a dinosaur is 1 in : 10 ft. If a dinosaur is 120 ft tall, how tall is he in the drawing?

  • [l/10] = [x/120]
  • 120 = 10x
  • [120/10] = [10x/10]
  • [120/10] = x

12 inches

A toy car is made to scale with the actual car. If the ratio of the car to the toy is 20 in : 0.5 mm, and the toy is 5 mm long, what would be the length of the actual car?

  • [20 in/0.5 mm] = [x/5]
  • 100 = 0.5x
  • [100/0.5] = [0.5x/0.5]
  • [100/0.5] = x

200 inches

A toy car is made to scale with the actual car. If the ratio of the car to the toy is 30 in : 0.6 mm, and the toy is 6 mm long, what would be the length of the actual car?

  • [30in/0.6 mm] = [x/6 mm]
  • 180 = 0.6x
  • [180/0.6] = [0.6x/0.6]
  • [180/0.6] = x

300 inches

The scale of a map is 5 in : 80 mi. If it is 40 inches between two cities on the map, how many miles apart is it?

  • [5/80] = [40/x]
  • 5x = 3200
  • [5x/5] = [3200/5]
  • x = [3200/5]

640 miles

The scale of a map is 7 in : 100 mi. If it is 2000 mi between two cities, how many inches is it apart on the map?

  • [7/100] = [x/2000]
  • 7 ·2000 = 100x
  • [14,000/1,00] = [1,00x/1,00]
  • [14,000/1,00] = x

140 inches

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Scale Drawings

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

Mathematics: Basic Math

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