Answer:
The correct answer is 54 cm ².
Step-by-step explanation:
1. In this figure we have two figures included: an square and a triangle. Let's find first the area of the square and then the area of the triangle.
2. Area of the square:
Area of the square = 6 cm * 6 cm
Area of the square = 36 cm ²
3. Area of the triangle :
Base = 6 cm (The same as the side of the square)
Height = 6 cm (12 - 6)
Area of the triangle = (Base * Height) / 2
Area of the triangle = ( 6 cm * 6 cm) / 2
Area of the triangle = 36 cm ²/2
Area of the triangle = 18 cm ²
4. Area of the figure :
Area of the square + Area of the triangle
36 cm ² + 18 cm ² = 54 cm ²
The area of the figure in the image is 54 cm ²
