Question

a rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. label the dimensions of the scale drawing.

Explanation:

Step1: Calculate the length of the scale drawing

Since 1 cm represents 2 meters, for a length of 40 meters.
Let \(x\) be the length in the scale drawing. Using the proportion \(\frac{1}{2}=\frac{x}{40}\), cross - multiply gives \(2x = 40\), then \(x=\frac{40}{2}=20\) cm.

Step2: Calculate the width of the scale drawing

Let \(y\) be the width in the scale drawing. Using the proportion \(\frac{1}{2}=\frac{y}{30}\), cross - multiply gives \(2y = 30\), then \(y=\frac{30}{2}=15\) cm.

Answer:

The length is \(20\) cm and the width is \(15\) cm.