Answer: Sorry if I'm wrong, but I believe it is:
Red Shape: 14.5 sq in.
Blue Shape: ≈236.75 sq ft.
Yellow Shape: 132 sq cm.
Purple Shape: 89 sq m.
Explanation:
Red Shape: Find area of triangle, then subtract the square. (5+4)(5)/2=22.5 22.5-8=14.5
Blue Shape: Find the semicircle area, then the rectangle in the middle.
Yellow Shape: Find area of trapezoid, then add area of rectangle.
Purple Shape: Find area of rectangle and subtract area of triangle.