Jessica draws an isosceles triangle. The length of each of the two equal sides is twice as much as the length of the base. If the length of the base is x, find the rule for finding the perimeter of the triangle.

Answer

To find the rule for finding the perimeter of the isosceles triangle drawn by Jessica, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the lengths of the sides:**
- Let the length of the base (BC) be represented as \( x \).
- Since the triangle is isosceles, the lengths of the two equal sides (AB and AC) are each twice the length of the base. Therefore, we can express the lengths of the equal sides as:
- \( AB = 2x \)
- \( AC = 2x \)

2. **Write the formula for the perimeter:**
- The perimeter \( P \) of a triangle is the sum of the lengths of all its sides. Thus, we can write:
\[ P = AB + BC + AC \]

3. **Substitute the values of the sides into the perimeter formula:**
- Substitute \( AB = 2x \), \( BC = x \), and \( AC = 2x \) into the perimeter formula:
\[ P = 2x + x + 2x \]

4. **Combine like terms:**
- Now, combine the terms:
\[ P = 2x + 2x + x = 5x \]

5. **State the final rule for the perimeter:**
- Therefore, the rule for finding the perimeter of the triangle is:
\[ P = 5x \]

### Final Answer:
The rule for finding the perimeter of the triangle is \( P = 5x \).