Step-by-step explanation:
since this is about scale factors, we know that the whole first figure has to be scaled by the same number to the second figure.
look at the second figure : it was not only scaled but also turned. now the longer sides are on the left and right (while in the original first figure the line sides are on top and bottom).
that means, 6 corresponds to 12, and x to 10.
again, we have one scaling factor for everything.
so,
6 / 12 = x / 10
1/2 = 0.5 = x / 10
x = 0.5 × 10 = 5
x = 5
the scaling factor is 1/2 (= 0.5).
