After my pergola went viral, I rounded up some similar pergolas that have adjustable shade. There are different sizes and styles

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10'x10' Patio Pergola Outdoor Garden Pergolas with Retractable Shelter Shades | Wayfair North America
Meadow 9.5 Ft. W x 9.5 Ft. D Steel Pergola with Canopy | Wayfair North America
12 Ft. W x 12 Ft. D Aluminum Pergola with Canopy | Wayfair North America
Outsunny 10' x 10' Outdoor Patio Gazebo Pergola with Retractable Canopy Roof, Steel Frame with St... | Walmart (US)
Sunjoy Saguaro 10 ft. x 12 ft. Modern Steel Pergola with White Adjustable Shade - | Walmart (US)
12Ft. W x 10Ft. D Metal Frame with Retractable Textilene Shade Cover and Slat Wall Pergola | Wayfair North America
SummerCove Delrey 12 x 14 ft. Outdoor Patio White Steel Frame Pergola with Adjustable Canopy for Bac | Amazon (US)
13 Ft. W x 10 Ft. D Metal Pergola | Wayfair North America
Outsunny Outdoor Louvered Pergola Patio Aluminum Gazebo with Adjustable Roof for Party, Lawn, Gar... | Target