When an object 5.0 cm tall is placed 12 cm from a converging lens an image is formed on the same side of the lens as the object but the image is 61 cm away from the lens. What is the focal length of t?

The image distance (61 cm) is positive since the image is on the same side of the lens as the object. Using the lens formula (1/f = 1/d_o + 1/d_i), where d_o is the object distance (12 cm) and d_i is the image distance, the focal length (f) of the lens is approximately 15 cm.