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  14 ft

Step-by-step explanation:

After the sides are folded up, the depth of the box is 2 ft, so the area of the square bottom is ...

  (200 ft^2)/(2 ft) = 100 ft^2

The edge dimension of the bottom is then ...

  √(100 ft^2) = 10 ft

Each side adds 2+2=4 ft to the bottom dimension in each direction, so the original square piece of metal was 14 ft square.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0