Question

the perimeter of a square must be greater than 102 inches but less than 154 inches .Find the range of possible side lengths that satisfy these conditions. formula p=4sput answer in interval notation

Answer 1

25.5 < s < 38.5

Step-by-step explanation:

The perimeter of a square is expressed as;

P = 4s

s is the side length of a square

If the perimeter of a square must be greater than 102, then;

p > 4s

4s > 102

s > 102/4

s > 25.5

Similarly if the perimeter of a square is less than 154 inches, then;

p < 4s

4s < 154

s < 154/4

s < 38.5

Combining both inequalitiess;

25.5 < s < 38.5

This gives the required interval