Answer:
(a) scale factor = 11, x = 33
(b) scale factor = 1/8, x = 7
Step-by-step explanation:
The value you get for x in question (a) is correct. The scale factor is not quite right.
A scale factor answers the question of "<em>What do I have to do to the first figure to get to the second one</em>"?
So for (a) you start out with 10 in the first figure and get to 110 in the second one.
Scale factor = second figure / first figure = 110/10 = 11
So your scale factor should be 11.
The next thing you do is
Size of second figure = scale factor * size of first figure.
Size of second figure = 11 * 3 = 33 which you already had.
(b)
Scale factor = second figure / first figure = 6/48 = 1/8
X = scale factor * size of second figure.
x = 1/8 * 56 = 7
The problem does not change in method if you have to go from the second figure to the first, but you have to be careful how you set it up.