Let's assume the length of the rectangle is represented by "l" and the width of the rectangle is represented by "w".

The perimeter of a rectangle is given by the formula:

Perimeter = 2(l + w)

To find the values of x (in this case, representing either the length or width) for which the perimeter of the rectangle is less than 128, we can write the following inequality:

2(l + w) < 128

Simplifying the inequality further:

l + w < 64

Now, we can solve this inequality for x.

Keep in mind that x can represent either the length or the width of the rectangle. Therefore, we need to consider different cases.

Case 1: Let x represent the length (l)

l + w < 64

x + w < 64

Case 2: Let x represent the width (w)

l + x < 64

w + x < 64

Now, you can use these inequalities to find the values of x (length or width) for which the perimeter of the rectangle is less than 128.

## Answers & Comments

Answer:Step-by-step explanation:Let's assume the length of the rectangle is represented by "l" and the width of the rectangle is represented by "w".

The perimeter of a rectangle is given by the formula:

Perimeter = 2(l + w)

To find the values of x (in this case, representing either the length or width) for which the perimeter of the rectangle is less than 128, we can write the following inequality:

2(l + w) < 128

Simplifying the inequality further:

l + w < 64

Now, we can solve this inequality for x.

Keep in mind that x can represent either the length or the width of the rectangle. Therefore, we need to consider different cases.

Case 1: Let x represent the length (l)

l + w < 64

x + w < 64

Case 2: Let x represent the width (w)

l + x < 64

w + x < 64

Now, you can use these inequalities to find the values of x (length or width) for which the perimeter of the rectangle is less than 128.