Scale drawings

Practice sheet

Fresh questions from the whole chapter, to do on paper.

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  1. Two polygons are similar. A side of length 5 corresponds to a side of length 15. Another side of the small polygon has length 9. Find the matching side of the large one.
  2. A polygon has perimeter 20. It is enlarged by a scale factor of 5. Find the new perimeter.
  3. A shape has area 9. It is enlarged by a scale factor of 2. Find the new area.
  4. On a map, 1 cm represents 9 km. Two towns are 6 cm apart on the map. How far apart are they in reality (km)?
  5. A floor plan uses the scale 1 inch to 4 feet. A wall is 20 feet long. How long is it on the plan (inches)?
  6. A drawing has a scale of 1 to 450 (no units). A line on it is 11 cm long. How long is the real object in meters?
  7. A figure has an area of 10 cm². A scaled copy uses a scale factor of 6. What is the area of the copy (cm²)?
  8. On a plan with scale 1 cm to 4 m, a room is 4 cm by 7 cm. What is the room's real area (m²)?
  9. A figure of area 10 cm² has a scaled copy of area 90 cm². What is the scale factor?