Question

dan made a scale drawing of a summer camp. the scale of the drawing was 5 centimeters : 3 meters. the sand volleyball court is 9 meters wide in real life. how wide is the volleyball court in the drawing?
centimeters

Explanation:

Step1: Determine the scale factor

The scale is 5 centimeters (drawing) : 3 meters (real). First, convert 3 meters to centimeters. Since 1 meter = 100 centimeters, 3 meters = \(3\times100 = 300\) centimeters. So the scale is 5 cm (drawing) : 300 cm (real), which simplifies to a scale factor of \(\frac{5}{300}=\frac{1}{60}\) (drawing length per real length).

Step2: Calculate the drawing width

The real width of the volleyball court is 9 meters. Convert 9 meters to centimeters: \(9\times100 = 900\) centimeters. Now, use the scale factor to find the drawing width. Let \(x\) be the drawing width in centimeters. Then \(\frac{x}{900}=\frac{1}{60}\). Solving for \(x\), we get \(x=\frac{900}{60}=15\) centimeters.

Answer:

15