10.8.2 Self-Check on Scale Diagrams

Tick iconExercise 4: Size of a Garden

This diagram below represents a scale diagram of a garden (it is not to scale, though!) showing the position of a small fenced area at one end of the garden.

The scale used is 1:200.

a) State what a scale of 1:200 means.

b) Using the dimensions on the diagram calculate the width and full length of the garden in meters.

c) Calculate the length of the garden to be enclosed by the fence in meters.

Solutions icon

Answer

a) 1 cm on the diagram represents 200 cm on the ground.

b) Width of garden equals 10 cm multiplication 200

prefix of equals 2000 cm

Since 1 m = 100 cm,

Width of garden equals 2000 solidus 100 m

prefix of equals 20 m

So the width of the garden is 20 m.

Full length of garden equals 20 cm multiplication 200

prefix of equals 4000 cm

prefix of equals 40 m

So the full length of the garden is 40 m.

c) Fenced length equals five cm multiplication 200

prefix of equals 1000 cm

prefix of equals 10 m

Thus the fenced length of the garden is 10 m.

10.8.1 Self-Check on Big and Small

10.8.3 Self-Check on Perimeters