Question - Calculating the Combined Area of Geometric Shapes

Let's denote the area of the triangle as A1 and the area of the square as A2.

The area of the triangle (A1) can be calculated using the formula for the area of a triangle:

A1 = \frac{1}{2} \times base \times height = \frac{1}{2} \times 5 \times 6

A1 = \frac{1}{2} \times 30

A1 = 15 cm^2

The area of the square (A2) can be calculated using the formula for the area of a square:

A2 = side^2 = 5^2

A2 = 25 cm^2

The total area of the given figure is the sum of the areas of the triangle and the square:

Total Area = A1 + A2

Total Area = 15 cm^2 + 25 cm^2

Total Area = 40 cm^2