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The perimeter of a square must be greater than 90 inches but less than 108 inches. Find the range of possible side lengths that satisfy these conditions. (Hint: Theperimeter of a square is given by P = 4s, where s represents the length of a side)Express your answer in interval notation. Use decimal form for numerical values.

Respuesta :

The perimeter of a square can be found using the following formula:

[tex]P=4s[/tex]

Where "s" is the length of any side of the square.

Then, an expression that represents the perimeter of a square can be:

[tex]4s[/tex]

You know that it must be greater that 90 inches be less than 108 inches. Then, using this information, you can set up that:

[tex]90<4s<108[/tex]

Now, in order to find the range of possible side lengths asked in the exercise, you need to divide 90 and 108 by 4, as you can see below:

[tex]\begin{gathered} \frac{90}{4}Therefore, the answer expressed in Interval notation, is:[tex](22.5,27)[/tex]

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