Question

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.

Answer 1

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

`P=4s`

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

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

`4s`

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

`90<4s<108`

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: