Concept:
Different garden styles are identified based on their layout, geometry, symmetry, pathways, vegetation patterns, and landscape treatment.
The French Garden style is characterized by:
• Highly symmetrical layout
• Geometrically designed pathways
• Decorative parterres
• Formal arrangement of shrubs and hedges
• Strong axial planning
This style became prominent during the Renaissance and Baroque periods, especially in France.
Step 1: Observe the features shown in the image.
The image depicts:
• Intricate geometric patterns,
• Symmetrical hedges,
• Formal pathways,
• Decorative parterre design.
These are the characteristic elements of a French formal garden.
Step 2: Analyze the given options.
• Italian Garden -- Usually terrace-based with fountains and stairways.
• Mughal Garden -- Characterized by Charbagh planning and water channels.
• French Garden -- Features formal geometry and ornamental parterres as shown in the image. \checkmark
• English Garden -- More naturalistic and informal in appearance.
Therefore, the correct answer is:
\[
{\text{French Garden}}
\]