Question

If the scale of a drawing is 1:5, and the length of a line on the drawing is 7.5 cm, what is the actual length of the line?

Answer 1

The actual length of the line is 37.5 cm.

Step-by-step explanation:

To find the actual length of the line, we can set up a proportion using the scale and the length on the drawing.

Let's set up the proportion:

scale/actual = 1/5

We can plug in the length on the drawing, 7.5 cm, for the scale:

1/5 = 7.5/actual

To solve for the actual length, we can cross multiply:

1 * actual = 5 * 7.5

actual = 37.5 cm

Therefore, the actual length of the line is 37.5 cm.