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
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.
To find the corresponding side in the old figure, we can set up a proportion using the scale factor:
(3 new figure) / (2 old figure) = 9.9 (new figure side) / x (old figure side).
Cross multiplying the proportion:
(3)(x) = (2)(9.9)
3x = 19.8
Now, divide both sides by 3 to solve for x:
x = 19.8 / 3
x ≈ 6.6
Therefore, the corresponding side in the old figure is approximately 6.6.
The correct answer is B) 6.6.