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Worksheet: Solving Problems Involving Scale Drawings


Given a scale drawing, which of the following is equal to the real length?

  • A
  • B
  • C
  • D


The radii of two circles are 12 cm and 4 cm. Find the scale factor of the first circle to the second.

  • A
  • B
  • C
  • D
  • E


If the distance between two cities on a map is 13.5 cm and the map has a drawing scale of , determine the actual distance between the cities.


Determine the scale factor for the following: 1 inch = 4 feet.

  • A
  • B
  • C
  • D
  • E


Determine the scale factor for .

  • A
  • B
  • C
  • D
  • E


Using the shown scale drawing of a room, determine its actual length if its actual width is 36 feet.


Determine the actual length and width of the given rectangle which is drawn to a scale of 1 in = 2 ft.

  • A length = 6 in, width = 3 in
  • B length = 12 in, width = 6 in
  • C length = 6 ft, width = 3 ft
  • D length = 12 ft, width = 6 ft
  • Elength = 3 ft, width = 1 ft


Find the scale factor used to dilate square to square .

  • A
  • B
  • C
  • D
  • E2


An engineer makes a model of 600 metre tall tower to a scale of . What is the model’s height in centimetres?


A picture of a tower is taken with a drawing scale of . If the height of the tower in the picture is 6 cm, what is its real height?

  • A 1 m
  • B 50 m
  • C 294 m
  • D 18 m
  • E 3 m


The scale factor of a model of a human inner ear to the actual ear is . If one of the bones of the model is 11 centimeters long, determine, to the nearest hundredth, the length of the actual bone in a human ear.


A square-shaped piece of land has a perimeter of 672 m. If you use a scale of to make a drawing of the land, how long would each side of the drawing be in centimetres?


João made a drawing of his brother Leonardo with a drawing scale of . If Leonardo’s height is 135 cm, what is his height in the drawing?

  • A 90 m
  • B 120 cm
  • C 13 cm
  • D 9 cm
  • E 15 cm


A line on a drawing is 3 cm long. In real life, the object represented is km long. What is the drawing scale?

  • A
  • B
  • C
  • D
  • E


An apartment’s ceiling is 19 feet high. However, its height on a scale drawing is only 4 inches. Determine the scale of the drawing.

  • A 1 inch = 57 feet
  • B 1 inch = 0.21 feet
  • C 1 inch = 2.53 feet
  • D 1 inch = 4.75 feet
  • E 1 inch = 14.25 feet


If the scale factor from a statue to a reduced model for a display is 16 feet to 7 feet, and the height of the original statue is 55 feet, find the height of the model.

  • A 46 ft
  • B ft
  • C ft
  • D ft
  • E ft


The figure below represents the floor plan of a house, where the drawing scale is . What is the real-life area of the living room?


In the following plan of an apartment, each square has a side length of in, and the scale is . Find the actual width and length of the kitchen.

  • A ft wide, ft long
  • B 15 ft wide, ft long
  • C 90 ft wide, 150 ft long
  • D ft wide, ft long
  • E ft wide, 15 ft long