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Effect of dark exterior in hot climate?

santuxy's picture

One part of the house I want to make darker than the rest, similar to this:

House is fully concrete. This room with dark exterior will have extra thick walls, at about 12-15in. Roof as on the pictures will be flat. Maybe paint the roof white for extra sun reflection? How much having dark room will increase energy consumption from air conditioning? Size - 16f*20f*11f

Air conditioner is running for 5-6m/year.

Climate -