Find the area of the following composite shape

Explanation

1. The area of the shape composite of a single square at one side and four triangles which all have the same area on the other side
   • A_shape = A_square + 4 (A_triangle)
2. Write square area equation
   • A_square = w²
3. Write triangle area equation
   • A_triangle = 1/2 bh
4. Calculate the area of the square where w = 3.8 m
   • A_square = 3.8² = 14.44 m²
5. Calculate the area of the triangle where b = 3.8 m and h = 2.1 m
   • A_triangle = 1/2 * 3.8 * 2.1 = 3.99 m²
6. Calculate the area of the shape
   1. A_shape = 14.44 + 4 * 3.99 = 30.4 m²