Respuesta :

Answer:

B. (x - 8) feet

Step-by-step explanation:

[tex] {x}^{2} - 16x + 64 \\ = {x}^{2} - 16x + {8}^{2} \\ = (x - 8)^{2} \\ = (x - 8) \times (x - 8) \\ length \: =( x - 8)\: feet \\ [/tex]

Hence,length of the side of tae top = (x - 8) feet.

Answer:

B  x-8

Step-by-step explanation:

x^2 -16x +64 = area of a square

We know that x^2 -16x +64 is the difference of squares

x^2 -16x+64 = (x-8)^2

The area of a square is given by

A = s^2

(x-8)^2 = s^2

Take the square root of each side

sqrt((x-8)^2) = sqrt(s^2)

x-8 = s