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Answer:
Rounded to the nearest inch: 10
Rounded to the nearest tenth: 10.2
Rounded to the nearest hundredth: 10.25
Step-by-step explanation:
To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!
[tex]A=s^2[/tex]
We are given the area, so plugging that into our equation looks like this:
[tex]105=s^2[/tex]
To eliminate the exponent, take the square root of both sides of the equation!
[tex]\sqrt{105}=s[/tex]
From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.
The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.
105 is closer to 100 than to 121, so √105 is closer to √100.
√100 is equal to 10, so the √105 is approximately 10 inches!
Using a calculator to check:
[tex]\sqrt{105}=10.247[/tex] inches