Answer :

Sure! To determine the length of one side of a square given its area, we can follow these steps:

1. Recall the formula for the area of a square, which is:

[tex]\[ \text{Area} = \text{side length}^2 \][/tex]

2. Let [tex]\( s \)[/tex] represent the side length of the square. Thus,

[tex]\[ s^2 = 289 \text{ cm}^2 \][/tex]

3. To find [tex]\( s \)[/tex], we need to take the square root of both sides. This is because the side length of a square multiplied by itself gives the area.

[tex]\[ s = \sqrt{289} \][/tex]

4. Now, we find the square root of 289. The square root of 289 is 17.

5. Therefore, the side length of the square is:

[tex]\[ s = 17 \text{ cm} \][/tex]

So, the length of one side of the square is [tex]\( 17 \)[/tex] cm.

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