Similarity, SMB-013

Libby plays on a hockey field that is 120 metres long.

She makes a scale diagram of the field using a ratio of `1: 400`.

How long, in centimetres, should Libby make the scale diagram of the field? (2 marks)

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`text(30 cm)`

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`text(Ratio is)\ \ 1:400`

`text{Converting to centimetres:}`

`text{120 m = 120 × 100 = 12 000 cm}`

`:.\ text(Length of the scale diagram)`

`=12\ 000 ÷ 400`

`= 30\ text(cm)`