Question

consider the scale drawing of a skate park.
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: Calculate the scale factor

The scale factor is the ratio of the actual length to the length on the drawing. Given that \(2\) ft on the drawing corresponds to \(120\) ft in actual.
Scale factor \(=\frac{\text{Actual length}}{\text{Drawing length}}=\frac{120}{2} = 60\)

Step2: Find the operation for \(4\) ft on the drawing

Since the scale factor is \(60\), to find the actual length corresponding to a length \(x\) on the drawing, we use the operation of multiplication. If \(x = 4\) ft on the drawing, the actual length \(L=x\times\text{Scale factor}\)

Answer:

The scale factor is \(60\). The operation to find the actual dimension corresponding to \(4\) ft on the drawing is multiplication.