Question

If you know a length in a scale drawing and its corresponding length in the original drawing, how can you determine the relationship between the areas of the drawings? Explain. (Lesson 13,14 & 15 of module 4)

Answer 1

If the scale factor is represented by , then the area of the scale drawing is
`k^(2)` times the corresponding area of the original drawing.

Explanation:

If the scale factor is represented by , then the area of the scale drawing is
`k^(2)` times the corresponding area of the original drawing.

For example:

Given a scale factor of 25%, would the quotient of the area of the scale drawing to the area of the original drawing be?

Answer:

The quotient of the areas would be equal to the square of the scale factor. Therefore, the quotient of the scale drawing to the original in this example would be equal to
`((1)/(4)) ^(2)`

Hope it will find you well.