the perimeter of a square must be greater than 46in but less than 82in. find the range of possible side lengths that's satisfy these conditions.

Question

hint: the perimeter of a square is given by p=4s, where s represents the length of a side 

Answer 1

P=4s

46<4s<82

46/4<4s/4<82/4

11.5<s<20.5

the side lengths must be between(non-inclusive) 11.5 in and 20.5 in

Answer 2

 

You have an equation with two variables, but you have values for one of the variables.

Plug in what you know and solve for the remaining variable.

 

Here:

 

You know 4s=p

Setup equation using p_min and p_max

Solve to get s_min and s_max

 

There is your range