The UIComponent class from which Canvas inherits has a minHeight and a minWidth property. You can bind A's minHeight/Width to the width and height of B, so whenever B is resized, the minimum dimensions of A also change. Binding to an expression is also supported (see example below).
B will automatically show scrollbars when A grows too large to be shown all at once, you just need to supply a fixed height and width (or some other size constraint). A also automatically resizes once you add children.
All you need is to set the scroll policy on B to be auto. This way, if A get's too large, B will have scroll bars. This should be done in the MXML.
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