Colorado

The state Colorado has the shape of a rectangle. The map is sold on 2 posters. The first has dimensions of 70 cm and 50 cm in a scale of 1: 1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster?

Result

M₂ = (Correct answer is: 1:400000)

Step-by-step explanation:

$$\begin{gathered} a=70\text{ cm } \\ b=50\text{ cm } \\ {M}_1=1000000 \\ {a}_2=175\text{ cm } \\ {b}_2=125\text{ cm } \\ {m}_2=M_1\cdot a\mathrm{/}{a}_2=1000000\cdot 70\mathrm{/}175=400000 \\ {m}_3=M_1\cdot b\mathrm{/}{b}_2=1000000\cdot 50\mathrm{/}125=400000 \\ {M}_2=1:400000 \end{gathered}$$

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