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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.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

16 is the absolute value

step-by-step explanation: