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In Mathematics / Middle School | 2014-10-21

A map measuring 60 cm by 25 cm is reduced twice in the ratio 3:5. Calculate the final dimensions of the map.

Asked by Sweetsiso2000

Answer (3)

60 / 3 = 20. 25 / 5 = 5. This means that the you get 20cm by 5 cm. However, you must do the sum again with the new dimensions. 20 / 3 = 6.6666666. 5 / 5 = 1. The final dimensions of the map are 6.66666cm (6 1/3 cm) by 1cm.

Answered by ZackFry | 2024-06-10

The final **dimensions **of the map are 21.6 cm by 9 cm.
Given that, a map measuring 60 cm by 25 cm is reduced twice in the **ratio **3:5.
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Multiply the dimensions of the map by the given ratio, so after the first reduction the dimensions of the new map are:
5 3 ​ × 60 = 36 cm and 5 3 ​ × 25 = 15 cm
And after the second reduction the final dimensions of the map are:
5 3 ​ × 36 = 21.6 cm and 5 3 ​ × 15 = 9 cm
Therefore, the final **dimensions **of the map are 21.6 cm by 9 cm.
To learn more about the **scale factor **visit:
https://brainly.com/question/22312172 .
#SPJ5

Answered by bhoopendrasisodiya34 | 2024-06-18

The final dimensions of the map after reducing it twice in the ratio 3:5 are 21.6 cm by 9 cm. This is obtained through two calculations, applying the scale factor of 5 3 ​ to each dimension in succession. The final size reflects a significant decrease from the original dimensions of 60 cm by 25 cm.
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Answered by bhoopendrasisodiya34 | 2024-10-02