Answer: 27.89905693 units²
Step-by-step explanation:
First divide the shape into smaller pieces, then find the area of these pieces and then add them up to get the area of the whole shape.
Area of first triangle = 1/2×2×2 = 2
Area of second triangle = 1/2×2×5 = 5
Area of square = 2×2 = 4
Summing up the smaller sides of the shape, we obtain a larger triangle with sides 3.5 and a base of 9. Thus we find the longest/hypotenuse side by applying the Pythagoras Theorem
√((3.5)² + 9²) = √93.25
Area of large triangle = 1/2×3.5×√93.25 = 16.89905693
Add up the areas to find the area of the shape = 16.89905693+5+4+2 = 27.89905693
