Question

A photo originally measuring 11 inches by 9 inches needs to be enlarged to a size of 55 by 45 inches. Find the scale factor.

Answer 1

The answer is gonna be 5

Answer 2

5

Explanation:

Given

Original Measurement = 11*9 inches

Measurement after enlargement = 55 * 45 inches

In order to find the scale factor, we can choose one side of the figure or the whole area and find the ratio between the measurement before enlargement and after enlargement.

In case of a side the answer will be the scale factor while in case of finding scale factor using areas the answer will be the square of scale factor.

So,

`Scale\ factor =s^2= (55*45)/(11*9) \\s^2 = (2475)/(99) \\s^2=25`

As we know that this is the square of scale factor.

Hence the scale factor will be:

`√(s^2)=√(25)  \\s=5`

So, the scale factor is 5 ..