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bloom716
Each side of a square is the same, so the area of a square is one side times another of the same length. In other words it's side x side or side2

This is where we get the term "square root".

s2 = 49
take the square root of each side
s = 7
Lanuel

The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]

Given the following data:

  • Area of a square = [tex]\frac{16}{49}[/tex] square inches.

To determine the side length of this square:

In this exercise, you're required to solve for the length of the sides of a square that has an area of  [tex]\frac{16}{49}[/tex] square inches.

Formula for the area of a square.

Mathematically, the area of a square is calculated by using the formula;

[tex]A=S^2[/tex]

Where;

  • S is the length of each sides of a square.

Substituting the value into the formula, we have;

[tex]\frac{16}{49}=S^2[/tex]

Taking the square root of both sides, we have;

[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]

Read more on area of a square here: https://brainly.com/question/16758129

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