**Problem Analysis**

Let's denote the length of the rectangle as 'l' and the width of the rectangle as 'w'. We are given that the perimeter of the rectangle is numerically equal to the area of the rectangle. The perimeter of a rectangle is given by the formula: P = 2(l + w) and the area of a rectangle is given by the formula: A = l * w.

We are also given that the perimeter of the rectangle is 13/2 cm. Therefore, we can write the following equation based on the given information:

2(l + w) = l * w ... (Equation 1)

We need to find the value of 'l' based on this equation.

**Solving the Equation**

To solve the equation, we will use trial and error method.

Let's assume a value for 'l' and substitute it into Equation 1 to find the corresponding value of 'w'. We can then check if the equation holds true for these values.

Let's assume l = 1 cm. Substituting this into Equation 1, we get:

2(1 + w) = 1 * w

Simplifying this equation, we get:

2 + 2w = w

Bringing all the terms to one side, we get:

w - 2w = -2

Simplifying further, we get:

-w = -2

Dividing both sides of the equation by -1, we get:

w = 2

So, when l = 1 cm, w = 2 cm satisfies Equation 1.

**Checking the Solution**

Now, let's substitute these values of 'l' and 'w' into Equation 1 to check if the equation holds true.

2(1 + 2) = 1 * 2

Simplifying this equation, we get:

2(3) = 2

6 = 2

This equation is not true, which means our assumption of l = 1 cm and w = 2 cm is incorrect.

**Finding the Correct Solution**

We need to repeat the process of assuming a value for 'l' and finding the corresponding value of 'w' until we find a solution that satisfies Equation 1.

Let's assume l = 2 cm. Substituting this into Equation 1, we get:

2(2 + w) = 2 * w

Simplifying this equation, we get:

4 + 2w = 2w

Bringing all the terms to one side, we get:

2w - 2w = -4

Simplifying further, we get:

0 = -4

This equation is not true, which means our assumption of l = 2 cm is incorrect.

Let's continue this process of assuming different values for 'l' and finding the corresponding value of 'w' until we find a solution that satisfies Equation 1.

Assuming l = 3 cm:

2(3 + w) = 3 * w

6 + 2w = 3w

Bringing all the terms to one side, we get:

w - 2w = 6

-w = 6

Dividing both sides of the equation by -1, we get:

w = -6

This solution is not valid since the width cannot be negative. We can conclude that l = 3 cm is not a valid solution.

Ass

Yes