Choose artwork in monochromatic colors, which are harmonious and pleasing to the eye, to hang behind a green sofa. Monochromatic colors belong to the same color family. In this case, choose artwork with either tints (lighter versions) or shades (darker versions) of green. For example, hang artwork with colors such as green, mint green, olive, yellow-green and blue-green.
Artwork with analogous colors, or colors that are side-by-side on the color wheel, can go well with a green sofa. Choose artwork in analogous colors to create a focal point in the room that's harmonious and pleasing to the eye. Decorate a wall with artwork that includes green, blue-green and blue, or artwork in green, yellow-green and yellow.
One of the simplest ways to choose artwork for a room with a green sofa is to choose green's complementary color. Complementary colors, which offer a vibrant look, are located directly opposite each other on the color wheel. The complementary color of green is red, so choose artwork with tints and shades of red to hang on your wall.
Triadic colors, which also give off a vibrant look, are evenly spaced around the color wheel. A triadic color scheme uses three colors. However, one of the colors should always dominate when you decorate with the triadic color scheme. A green sofa will go well, for example, with artwork that's predominantly green but with splashes of orange and violet.