Various dilations of square a are shown. which square was obtained by dilating square a by the scale factor of 3

The square E is obtained by dilating square A by the scale factor of 3.

Step-by-step explanation:

We are given that,

The square 'A' is dilated by the scale factor of 3.

We have that the scale factor for the given dilation is 3.

That is, the new figure is an enlargement of square A.

So, option C and D are discarded.

So, the ratio of the sides of the square A and dilated square must be equal to 1 : 3.

In square B, the ratio of sides =

In square E, the ratio of sides =

So, we see that,