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8 - 1: mathxl for school: practice & problem solving (lms graded) part …

Question

8 - 1: mathxl for school: practice & problem solving (lms graded)
part 3 of 3
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 width of the field is (square) feet.

Explanation:

Step1: Set up the proportion

Let \(x\) be the actual width. The proportion is \(\frac{2}{3}=\frac{6}{x}\) (since \(2\) inches (drawing) corresponds to \(3\) feet (actual), and \(6\) inches (drawing) corresponds to \(x\) feet (actual)).

Step2: Cross - multiply

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

Step3: Solve for \(x\)

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

Answer:

9