Area Tool

measure icon

Call this from Edit > Tools > Measure and choose Area Tool from the drop-down list.  A dialog box with three tabs appears; make choices in the Settings and Mark up panels, then draw a set of lines line over an object in the PDF whose area you want to measure. Click to change line direction and double-click to close the shape.

 

View tab
 

Measurement shows:

In the Cursor Location area, the X and Y coordinates of the current cursor position are dynamically displayed relating to the start points of the current line section.  No signs are considered.
 

Setting tab

Markup tab