Chapter 14.5, Problem 10P

Cameras that use film produce a negative, which Is a small picture of the scene that was photographed (with reversed colors). A photograph ls produced from a negative by printing onto photographic paper. When a photograph ls printed from a negative, one of two things happens: Either the printed picture shows the full picture that was captured in the negative, or the printed picture is cropped, showing only a portion of the full picture on the negative. In either case, the rectangle forming the printed picture is similar to the rectangular portion of the negative that it comes from. An ordinary 35-mm camera produces a negative in the shape of a $1\frac{7}{16}$ -inch-by- $\frac{15}{16}$ -inch rectangle. Some of the most popular sizes for printed pictures are $3\frac{1}{2}$ in. by 5 in., 4 in. by 6 in. and 8 in by 10 in. Can any of these Size photographs be produced wuthout either cropping the picture or leavmg blank space around the picture? Why, or why not? Explain your reasoning clearly