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We are given an equilateral triangle with a perimeter of 15 cm, and squares are drawn on each side of the triangle. The goal is to find the total area of the three squares.

### Step-by-step solution:

1. **Find the side length of the equilateral triangle:**
   The perimeter \( P \) of an equilateral triangle is the sum of all three sides. Since all sides are equal, the length of one side \( s \) can be found by dividing the perimeter by 3:
   \[
   s = \frac{P}{3} = \frac{15 \, \text{cm}}{3} = 5 \, \text{cm}
   \]

2. **Calculate the area of each square:**
   Each square has a side equal to one side of the equilateral triangle, which is 5 cm. The area \( A \) of a square is given by:
   \[
   A = s^2 = 5^2 = 25 \, \text{cm}^2
   \]

3. **Find the total area of the three squares:**
   Since there are three squares, the total area is:
   \[
   \text{Total Area} = 3 \times 25 \, \text{cm}^2 = 75 \, \text{cm}^2
   \]

Thus, the total area of the three squares is **75 cm²**, which corresponds to option **b)**.

### Do you have any questions or need more details?

Here are some related questions to expand this topic:
1. How do you calculate the area of a regular polygon with more than three sides?
2. What is the relationship between the area of a square and its diagonal?
3. How would the area calculation change if the triangle were isosceles?
4. How do the properties of equilateral triangles affect the arrangement of the squares?
5. Can the Pythagorean theorem be used in problems involving squares and triangles?

**Tip:** In geometry problems, always start by identifying known properties (like equal sides in an equilateral triangle) to simplify the calculations.

Un triángulo equilátero tiene un perímetro de 15 cm, se dibuja un cuadrado en cada lado del triángulo, ¿Cuál es el área total de los tres cuadrados?

Descubre cómo calcular el área total de tres cuadrados dibujados en los lados de un triángulo equilátero con un perímetro de 15 cm. Este problema de geometría incluye el cálculo del lado del triángulo y el área de los cuadrados. Adecuado para estudiantes de Grados 7-9.

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