Example Question - combined area

Calculating the Combined Area of Geometric Shapes

<p>Let's denote the area of the triangle as A1 and the area of the square as A2.</p> <p>The area of the triangle (A1) can be calculated using the formula for the area of a triangle:</p> <p>A1 = \frac{1}{2} \times base \times height = \frac{1}{2} \times 5 \times 6</p> <p>A1 = \frac{1}{2} \times 30</p> <p>A1 = 15 cm^2</p> <p>The area of the square (A2) can be calculated using the formula for the area of a square:</p> <p>A2 = side^2 = 5^2</p> <p>A2 = 25 cm^2</p> <p>The total area of the given figure is the sum of the areas of the triangle and the square:</p> <p>Total Area = A1 + A2</p> <p>Total Area = 15 cm^2 + 25 cm^2</p> <p>Total Area = 40 cm^2</p>