Question

the 2 ft side length of the scale drawing corresponds to a side length of 120 feet for the actual skate park. what is the scale factor? what operation will find the dimension of the actual skate park that corresponds to 4 ft on the scaled drawing?

Explanation:

Step1: Find the scale factor

The scale factor is the ratio of the actual length to the scale - drawing length. Given that the scale - drawing length is \(2\) ft and the actual length is \(120\) ft. The scale factor \(k=\frac{\text{Actual length}}{\text{Scale - drawing length}}\). So \(k = \frac{120}{2}=60\). But wait, scale factor for a scale drawing (where the scale drawing is smaller than the actual) is usually written as a fraction. The correct scale factor is \(\frac{1}{60}\) (since \(2\times60 = 120\), meaning \(1\) unit on the scale drawing represents \(60\) units in actual).

Step2: Find the operation for the second part

If the scale factor is \(k = 60\) (actual/scale - drawing), and the scale - drawing length \(x = 4\) ft. To find the actual length \(y\), we use the formula \(y=k\times x\). So the operation is multiplication.

Answer:

The scale factor is \(\frac{1}{60}\). The operation to find the dimension of the actual skate - park corresponding to \(4\) ft on the scaled drawing is multiplication (specifically \(4\times60\)).