Question

How many feet are represented by a 4-in. line if it is drawn to ascale of 1/2 in. = 1 ft?

Answer 1

When working with scales, we can find the measures by using the rule of three.

From the scale, we know that 1/2 in corresponds to 1 ft, so, the rule of three is:

1/2 in --- 1ft

4 in --- x

Where "x" is the size of the line in feet repreented by the 4 in line in the drawing.

So, we cross multiply to get the equation:

$\begin{gathered} \frac{1}{2}x=4\cdot1 \\ x=2\cdot4 \\ x=8 \end{gathered}$

Thus, this lines represents a size of 8 ft.