Question

Leroy made a scale drawing of a neighborhood park. The scale of the drawing was 1 centimeter : 4 meters. In the drawing, the volleyball court is 4 centimeters long. What is the length of the actual volleyball court?

Answer 1

The scale of the drawing is 1:4, this means that each centimeter of the drawing corresponds to 4 meters in real life.

To determine how long is the volleyball court in real life, given that its length on the drawing is 4cm you have to use cross multiplication:

1cm → 4m

4cm → xm

Both relationships are at the same ratio so that:

`\begin{gathered} (4)/(1)=(x)/(4) \\ 4=(x)/(4) \\ 4\cdot4=4\cdot(x)/(4) \\ 16=x \end{gathered}`

The length of the volleyball court is 16 meters.