Question

The scale factor on a floor plan is 1 in8 ft. What is the actual distance represented by a 2.5 inches on the floor plan

Answer 1

Given:

Scale factor = 1 inch 8ft

Floor Plan measurement = 2.5 inches

Solution

We should re-write the scale factor in units of inches only.

Recall that:

`1\text{ f}eet\text{ = 12 inches}`

Then, the scale-factor in inch:

`\begin{gathered} \text{Scale factor = 1 + 8 }*\text{ 12} \\ =\text{ 1 + 96 } \\ =\text{ 97 inches} \end{gathered}`

We can then find the actual distance by multiplying the represented distance (2.5 inches) by the scale factor.

So, we have:

`\begin{gathered} \text{Actual distance = Represented distance }*\text{ scale factor} \\ =2.5\text{ }*\text{ 97} \\ =\text{ }242.5\text{ inches} \end{gathered}`

Answer: Actual distance = 242.5 inches