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Answer:

option d

Step-by-step explanation:

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Option D is correct.

We have an expression that is used to calculate the area of a square - [tex]s^{2}[/tex], where s is the side of the square.

We have to estimate the value of the expression [tex](8x)^{2}[/tex]

What is the area and perimeter of a square of side 'a' ?

The area of a square is - Area = [tex]a^{2}[/tex] and the perimeter is - P  = 4a.

In the question, we have to estimate the value of the expression [tex](8x)^{2}[/tex].

Let f(x) = [tex](8x)^{2}[/tex]

The expression given to us is [tex]s^{2}[/tex].

Let f(s) = [tex]s^{2}[/tex]

Compare f(s) and f(x), you will get -

s = 8x

Hence, the expression [tex](8x)^{2}[/tex] represents the area of square with side length of 8x.

Hence, Option D is correct.

To solve more questions on squares, visit the link below -

https://brainly.com/question/27776258

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