Question

think about the process the scale for the drawing of a rectangular playing field is 2 inches = 3 feet. find an equation you can use to find the dimensions of the actual field. what are the actual dimensions? the actual length of the field is \boxed{} feet.

Explanation:

Step1: Set up the proportion

Let \(x\) be the actual length (in feet) corresponding to the drawing length (in inches). The scale is \(2\) inches \( = 3\) feet. If the drawing width is \(6\) inches, the proportion is \(\frac{2}{3}=\frac{6}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(2x = 3\times6\).

Step3: Solve for \(x\)

\(2x=18\), then \(x=\frac{18}{2}=9\).

Answer:

\(9\)