Worksheet Chapter 4: Scale Drawings

1. A floor plan of a house drawn to scale 1 : 100 shows a master bedroom with an area of 18 cm². (a) What is the actual area of the bedroom in m²? (b) If the actual length of the bedroom is 5 m, find its width in cm on the floor plan.

2. A line segment of actual length 18 m is represented by 6 cm on a scale drawing. What is the scale in the form 1 : n?

3. A rectangular hall measures 25 m in length and 15 m in width. Find the perimeter of the hall on a floor plan drawn to a scale of 1 : 500.

4. A map is drawn using a scale of 1 : 20,000. The distance between a post office and a school on the map is 8.5 cm. Calculate the actual distance between them in kilometres.

5. A right-angled triangle on a scale drawing has a base of 6 cm and a height of 8 cm. The scale of the drawing is 1 : 50. Calculate the actual area of the triangle in square metres.

6. True or False: If the scale of a drawing is 1 : 200, an actual area of 4 m² corresponds to 100 cm² on the drawing.

7. Fill in the blank: In a scale ratio written in the form 1 : n, if n is less than 1, the scale drawing is ________ than the actual object.

8. An insect with an actual length of 8 mm is drawn to scale with a length of 4 cm. Determine the value of n if the scale is written as 1 : n.

9. The diagram of a parking lot is drawn to a scale of 1 : 250. On the drawing, the parking lot is a trapezium with parallel sides measuring 8 cm and 12 cm, and a height of 6 cm. Calculate the actual area of the parking lot in square metres.

10. True or False: The size of interior angles changes proportionally when an object is redrawn as a scale drawing.