Question

Find the area of the figure.
Hint: Separate into regular shapes and combine the areas!
Shapes: A rectangle and 2 triangles
Triangle 1: 15 m
Triangle 2: 15 m
Square: 15 m, 15 m and 15 m
A = [ ? ]m²
Area Formulas: B x H and B x H/2

Answer 1

To find the area of the given figure, we can break it down into simpler shapes as suggested: a square and two triangles.

1. **Calculate the area of the square:**
- The side length of the square is 15 m.
- Area of the square (A_square) = side × side = 15 m × 15 m = 225 m².

2. **Calculate the area of the triangles:**
- Both triangles have a base and height of 15 m.
- Area of a triangle (A_triangle) = (base × height) / 2.

For each triangle:
- A_triangle = (15 m × 15 m) / 2 = 225 m² / 2 = 112.5 m².

Since there are two triangles:
- Total area of triangles (A_triangles) = A_triangle × 2 = 112.5 m² × 2 = 225 m².

3. **Combine the areas:**
- Total area (A_total) = Area of the square + Total area of the triangles
- A_total = 225 m² + 225 m² = 450 m².

Therefore, the area of the figure is **450 m²**.