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26 October, 14:12

Arty says that if you change a scale so that a unit

represents a longer distance than in an original scale,

then the lengths in the new scale drawing will be longer.

Do you agree? Give an example of a scale and some

measurements to support your answer.

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Answers (1)
  1. 26 October, 15:51
    0
    See explanation

    Step-by-step explanation:

    Take the original scale, for example, 1 cm to 1 km.

    Arty says that if you change a scale so that a unit represents a longer distance than in an original scale, then the lengths in the new scale drawing will be longer.

    Arty is incorrect.

    Take a new scale acoording to Arty's description, for example, 1 cm to 10 km.

    Let the distance between two cities be 40 km.

    Original scale:

    1 cm to 1 km,

    then 44 cm to 40 km,

    so the distance of 40 km is represented by 40 cm distance on the original map.

    New scale:

    1 cm to 10 km,

    then 4 cm to 40 km,

    so the distance of 40 km is represented by 4 cm distance on the new map.

    Since 4 cm is shorter distance than 40 cm, the distance on the new map is shorter than the distance on the original map.
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