Congruence and Similarity - Map Scales

Congruence and Similarity - Map Scales

IP 1

On a map with a representative fraction of \(\frac{1}{3r}\), the area of a garden is \(20\) \(\mathrm{cm}^2\) and the length of a road is \(6\) cm.

  1. Find the area of the garden on a second map which has a representative fraction of \(\frac{1}{2r}\).
  2. Find the scale of a third map, in terms of \(r\), if the road length on this chart is \(8\) cm.

Solution:

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Answer:(a) \(45\text{ cm}^2\). (b) \(4:9r\).

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