**GEOMETRY QUESTION! PLEASE HELP!**

On a computer screen, lengths and widths are measured not in inches or millimeters but in pixels. A pixel is the smallest visual element that a computer is capable of processing. A common size for a large computer screen is 1024 × 768 pixels. (Widths rather than heights are conventionally listed first.) For the following, assume you’re working on a 1024 × 768 screen.
1. You have a photo measuring 640 × 300 pixels and you
want to enlarge it proportionally so that it is as wide as the
computer screen. Find the measurements of the photo after it
has been scaled up. Explain how you found the answer.
2. a. Explain why you can’t enlarge the photo proportionally so
that it is as tall as the computer screen.
b. Why can’t you correct the difficulty in (a) by scaling the
width of the photo by a factor of 1024 ÷ 640 and the
height by a factor of 768 ÷ 300?
3. You have some square photos and you would like to fill the
screen with them, so there is no overlap and there are no
gaps between photos. Find the dimensions of the largest such
photos you can use (all of them the same size), and find the
number of photos. Explain your reasoning.