please help me with thus questions.

1) A rectangle study area is to be enclosed by a fence and divided into two equal parts, with a fence running along the division parallel to one of the sides. If the total area is 384ft^2, find the dimenstions of the study area that will minimize the total length of the fence. How much fence will be required?

2) Show that among all rectangles with a given perimeter, the square has the largest area.

3) How close does the curve y=1/x come to the origin?

thank you. Any help would be appreciated.