Question

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.​

Answer 1

See explanation

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.