Question

The table below gives the dimensions of a statue and a scale drawing of the statue.

Find the scale factor of the drawing to the real statue.
Write your answer as a fraction in simplest form.

Answer 1

Answer:
`(1)/(6)`

Explanation:

The formula to find the scale factor(k) :

`k=\frac{\text{length of side in image}}{\text{length of corresponding side in pre-image}}`

From the given table, the height of statue of drawing = 9 inches

The height of statue of real statue = 54 inches

Then, the scale factor :
`k=(9)/(54)=(1)/(6)`

Similarly for length , the scale factor =
`k=(7)/(42)=(1)/(6)`

Hence, the scale factor of the drawing to the real statue =
`(1)/(6)`

Answer 2

1/6 is the scale factor

Explanation:

If two figures are similar, then we can relate different characteristics of the figure by using the scale factor. The scale factor is a measure of proportion with the original figure.

Obviously only similar figures can be compared using a scale factor. We know that similar figures are proportional and constant of proportionality of different dimensions in linear form such as length, height, width, perimeter etc is called scale factor.

If scale factor >1 then there is dilation of enlargement otherwise shrink

Here drawing is having dimensions as 9x7 instead of original 54x42

Proportion is the same as 1/6

So scale factor = 1/6