Video: AQA GCSE Mathematics Foundation Tier Pack 3 • Paper 3 • Question 16

The positions of two trees in a park are highlighted as A and B on the diagram. Scale: 1 cm represents 2 m. Work out the true distance between the two trees.

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Video Transcript

The positions of two trees in a park are highlighted as A and B on the diagram. Scale: one centimetre represents two metres. Work out the true distance between the two trees.

If you are printing the diagram, it is important that you do it to full size. This will ensure that your answer is correct. It is also important that you measure as accurately as possible although there will be a small margin for error in an exam.

Our first step here is to measure the distance on the diagram between point A and point B. This straight line distance is equal to 11 centimetres. We were told in the question that one centimetre on the diagram represents two metres in real life. We need to multiply 11 by two. 11 multiplied by two is equal to 22.

This means that the true distance between the two trees is 22 metres. In this question, any answer between 21.6 metres and 22.4 metres was acceptable.

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