*write an inequality then solve for the width.* the length of a rectangle is 12 more than its width. what values of the width will make the perimeter less than 96 feet? (will give brainliest to best answer)

Let  be the width of the rectangle, so the length will be .
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula: 
where 
is the perimeter 
is the width 
is the length 

We know that  and , so lets replace those values in our formula:




We want values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:





Since the width can't be zero, we can conclude that the values of the width that will make the perimeter less than 96 feet are:  or in interval notation: (0,18)