Louis plans to make a scale drawing of his room using a scale of 1:15. He has taken all the actual measurements of his room. How can he find the corresponding lengths to use in the scale drawing?

the corresponding length can be derived from the actual length by dividing the actual length by 15.

Corresponding length = actual length : 15

x1 = 1/15 * x = x/15

y1 = 1/15 * y = y/15

z1 = 1/15 * z = z/15

Step-by-step explanation:

Let x, y, z represent the actual dimensions of his room.

And x1, y1, z1 represent the corresponding dimensions of his room used in the scale drawing.

Given;

Scale = 1:15

In a scale drawing, the corresponding dimensions uses for the drawing can be derived by multiplying the actual dimensions by the ratio.

Ratio = 1/15

Corresponding dimension = 1/15 * actual dimensions

x1 = 1/15 * x = x/15

y1 = 1/15 * y = y/15

z1 = 1/15 * z = z/15

Therefore the corresponding length can be derived from the actual length by dividing the actual length by 15.

Corresponding length = actual length : 15