Visual 1: Treemap A treemap is the ideal choice for displaying the distribution of hierarchical data. It represents data as a set of nested rectangles, where the size of each rectangle is proportional to a specific measure. This structure naturally visualizes the composition of the whole and the contribution of each hierarchical level, making it perfect for understanding distributions within a hierarchy.

Visual 2: Slicer A slicer is the standard Power BI visual used for filtering data on a report page. It allows users to select one or more values to filter other visuals. Critically, the slicer visual includes a built-in search functionality, which directly meets the requirement to "search and then filter by values."

Microsoft Learn, Power BI Documentation, "Treemaps in Power BI."

This document states, "Treemaps are charts of colored rectangles, with size representing value. They can be hierarchical, with rectangles nested within the main rectangles." This confirms their primary use for visualizing hierarchical data distribution.

Microsoft Learn, Power BI Documentation, "Slicers in Power BI."

The official documentation describes slicers as a way to filter other visuals on the page. In the section "Format slicers," it details the search option: "For some slicer types, you can format a search box... The search box is a great way to find items in a long list." This directly corresponds to the requirement for Visual 2.