The scale factor for two figures is 3(new figure) to 2(old figure). The new figure has a side of 9.9. What is corresponding side in the old figure?

Choose the best answer from the options below:
A 6
B 6.6
C 6.06
D 6.16

1 answer

To find the corresponding side length in the old figure, we can set up a proportion.

Let x be the corresponding side length in the old figure.

According to the given information, the scale factor is 3(new figure) to 2(old figure).

This can be written as:

3/2 = 9.9/x

To solve for x, we can cross multiply:

3x = 2 * 9.9
3x = 19.8

Divide both sides by 3:

x = 19.8 / 3
x = 6.6

Therefore, the corresponding side length in the old figure is 6.6.

The correct answer is B) 6.6.