Question

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?

Answer 1

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

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