Question

pedro measured a swimming pool and made a scale drawing. the pool, which is 42 meters long in real life, is 119 centimeters long in the drawing. what scale did pedro use for the drawing? 17 centimeters : meters

Explanation:

Step1: Find the ratio of drawing length to real - life length

The drawing length is \(119\) centimeters and the real - life length is \(42\) meters.
Let's first simplify the ratio \(\frac{119}{42}\).
We know that \(119 = 7\times17\) and \(42=7\times6\). So \(\frac{119}{42}=\frac{7\times17}{7\times6}=\frac{17}{6}\).

Step2: Interpret the ratio

The ratio of the drawing length to the real - life length is \(\frac{17}{6}\) (drawing length : real - life length).
If the drawing length is \(17\) centimeters, let the real - life length be \(x\) meters.
Since \(\frac{\text{drawing length}}{\text{real - life length}}=\frac{17}{x}\) and from the previous step \(\frac{\text{drawing length}}{\text{real - life length}}=\frac{17}{6}\)

Answer:

\(6\)