A rectangular picture measures 6 inches by 8 inches. Charlie wants to build a wooden frame for the picture so that the framed picture takes up a maximum area of 100 square inches on his wall. The pieces of wood that he used to build the frame all have the same width.

write an equation or inequality that could be used to determine the maximum width of the pieces of wood for the frame Charlie could create. Explain how your equation or inequality models the situation.

Solve the equation or inequality to determine the maximum width of the pieces of wood used for the frame to the nearest tenth of an inch.