Question

Karl makes a scale drawing for a crate with a scale factor of 1:12. The dimensions

his scale drawing are 10 inches long by 8 inches wide. The builder creates a scale
drawing of the crate with a scale factor of 1:3.
What are the dimensions of the builder's scale drawing?​

Answer 1

The dimensions of the builders scale drawing is 40 x 32 inches

Explanation:

Let the area of the actual crate be 'a'

Scale factor of Karl = 1:12

Dimensions = 10 x 8 inches

Area = 80 square inches

1:12 = 1/12

1/12 = 80/a

a = 80 x 12

a = 960 square inches

So dimensions are 120 x 96 inches

Builders scale factor = 1:3

Actual Length = 120inches

Actual width = 96 inches

Builders drawing length = 120/3

= 40 inches

Builders drawing width = 96/3

= 32 inches

The dimensions of the builders scale drawing is 40 x 32 inches.