Respuesta :
Explicación:
First, let's determine the area of the square, which is 4x4 = 16 cm².
Then, since the square hides 80% of the triangle in the left figure, the triangle is only visible in 20% of its area.
Therefore, the visible area of the triangle is 0.20 * Total area of the triangle.
When the roles are reversed and only 15% of the square's area is visible, the triangle hides 85% of the square. So the visible area of the square is 0.15 Total area of the square.
Equating these two visible areas, we can establish an equation to find the area of the triangle:
0.20 * Total area of triangle = 0.15 Total area of square
Solving for the total area of the triangle:
Total area of triangle = (0.15 * Total area of square) / 0.20
Total area of triangle = (0.15 * 16 cm²) / 0.20
Total area of triangle = (2.4 cm²) / 0.20
Total area of triangle = 12 cm²
So the area of the triangle is 12 cm².
The correct answer is:
• 12 cm².