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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

1 answer

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.