We have to find the areas of all figures and then add them.
First rectangle:
A = b*h (b=base, h=height)
A = (15)*(7) in^2 (Replacing the values)
A= 105 in^2 (Multiplying)
Second rectangle:
A = b*h (b=base, h=height)
A = (15)*(9) in^2 (Replacing the values)
A= 135 in^2 (Multiplying)
Third rectangle:
A = b*h (b=base, h=height)
A = (15)*(11.4) in^2 (Replacing the values)
A= 171 in^2 (Multiplying)
Area of both triangles:
A=2*b*h/2 (b=base, h=height)
A=b*h (Simplifying)
A=(9)*(7)in^2 (Replacing the values)
A=63 in^2 (Multiplying)
Adding all areas, we have:
105 in^2 + 135 in^2 + 171 in^2 + 63 in^2 = 474 in^2
The answer is 474 in^2