Area Value not getting reflected in attribute Table using PyQGIS?

Question

I have a WardBoundary.shp file in my project. I need to find the area of each polygon ( representing different wards).With the help of this comment on Adding Area column in Polygon layer using PyQGIS?, I executed the code. I didn't get any error but still my attribute table doesn't show area value for any ward. Only the column Area is added in the field list. Here is the link of my shape file

  from qgis.core import QgsVectorLayer,QgsVectorDataProvider
  from qgis.PyQt.QtCore import QVariant

  # ****Choose**** where you want to calculate your area

  # from a layer stored somewhere in your computer
  layer = QgsVectorLayer('C:/Users/Prachi/Desktop/Qgis   sample data\Ward_Saphale_updated.shp', 'WardBoundary', 'ogr')

  # in the active layer in the TreeLayer (the undelying layer)
  #layer = iface.activeLayer()

  # Here we get the capabilities of your layer (Add attribute layer, edit feature ect ..
  caps = layer.dataProvider().capabilities()

 # We make a list of fields from their name
 fields_name = [f.name() for f in layer.fields()]

# We check if we can add an attribute to the layer.
if caps & QgsVectorDataProvider.AddAttributes:
# We check if the attribute field is not exist
if "Area" not in fields_name:
    # We add the field name Area and with the double type (it can be integer or text
    layer.dataProvider().addAttributes([QgsField("Area", QVariant.Double)])
    # We update layer's field otherwise we'll not have the field
    layer.updateFields()
    # Recreate the list field by the name to have index of the field
    fields_name = [f.name() for f in layer.fields()]
    # we get the index of the Area field
    fareaidx = fields_name.index('Area')
else:
    # We are here because there is a field name Area
    print("The Area field is already added")
    # Recreate the list field by the name to have index of the field
    fields_name = [f.name() for f in layer.fields()]
    # we get the index of the Area field
    fareaidx = fields_name.index('Area')

 # Here we check if we can change attribute of the layer
 if caps & QgsVectorDataProvider.ChangeAttributeValues:
  # we loop^on every feature
    for feature in layer.getFeatures():
    # For each feature :
    # We calculate the area and put the index of the field Area
    # We round the area value by 2 digit
    attrs = {fareaidx : round(feature.geometry().area(), 2)}
    # We change the the value of Area Field for this feature.
    layer.dataProvider().changeAttributeValues({feature.id() : attrs})

Answer 1

I found the mistake in my code. I need to put double inverted column rather then single inverted column in the file path.

 layer = QgsVectorLayer("C:/Users/Prachi/Desktop/Qgis   sample data\Ward_Saphale_updated.shp", "WardBoundary", "ogr")