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on a drawing with a scale of 1:500000, the distance between places a an…

Question

on a drawing with a scale of 1:500000, the distance between places a and b is 14 cm, the actual distance between these two places is _ km.

Explanation:

Step1: Set up the proportion

Let the actual distance be \(x\) cm. Since the scale is \(1:500000\), we have the proportion \(\frac{1}{500000}=\frac{14}{x}\).

Step2: Solve for \(x\)

Cross - multiply: \(x = 14\times500000\).
\(x=7000000\) cm.

Step3: Convert centimeters to kilometers

Since \(1\) km \( = 100000\) cm, then \(x=\frac{7000000}{100000}\) km.

Answer:

\(70\)