Perimeter of a Rectangle:
The perimeter of a rectangle is the sum of all its side lengths. In other words, it is the distance around the outside of the rectangle. To find the perimeter of a rectangle, we add the lengths of all four sides.

Given Information:
Perimeter = 23 cm
Length = 3 3/4 cm

Step 1: Understanding the Problem
To find the width of the rectangle, we need to use the given information about the perimeter and length. We will use the formula for the perimeter of a rectangle and solve for the width.

Step 2: Finding the Perimeter
The perimeter of a rectangle is the sum of its four sides. Let's denote the length of the rectangle as L and the width as W. According to the given information, the perimeter is 23 cm. We can write this as an equation:

2L + 2W = 23

Step 3: Substituting the Length
We are given that the length is 3 3/4 cm. To solve the equation, we substitute this value into the equation:

2(3 3/4) + 2W = 23

Step 4: Simplifying the Equation
To simplify the equation, we need to convert the mixed number 3 3/4 to an improper fraction.

3 3/4 = (4 * 3 + 3)/4 = 15/4

Substituting the value into the equation:

2(15/4) + 2W = 23

Step 5: Solving for the Width
Let's simplify the equation further by multiplying the terms:

30/4 + 2W = 23

To get rid of the fraction, we can multiply both sides of the equation by 4:

4 * (30/4) + 4 * 2W = 4 * 23
30 + 8W = 92

Now, let's isolate the variable W by subtracting 30 from both sides:

30 + 8W - 30 = 92 - 30
8W = 62

Finally, divide both sides by 8 to solve for W:

8W/8 = 62/8
W = 7.75 cm

Step 6: Conclusion
The width of the rectangle is 7.75 cm. The length is 3 3/4 cm and the perimeter is 23 cm. By substituting the length into the perimeter equation and solving for the width, we found that the width of the rectangle is 7.75 cm.

Ans is 15