Okay, here we have this:
Considering the provided figure, we are going to calculate the requested area of the figure, so we obtain the following:
So to calculate the area of the figure we will separate it into a rectangle and a trapezoid to calculate their areas separately and finally we will add their areas to find the total area, then we have
Area of the rectangle=5 in * 9 1/2 in
Area of the rectangle=5 in * 19/2 in
Area of the rectangle=95/2 in^2
Area of the rectangle=47 1/2 in^2
Area of the trapezoid=(b1+b2)h/2
Area of the trapezoid=(5 in+2 1/2in)1 in/2
Area of the trapezoid=(7 1/2in)1 in/2
Area of the trapezoid=(7 1/2in^2)/2
Area of the trapezoid=(15/2in^2)/2
Area of the trapezoid=15/4in^2
Area of the trapezoid=3 3/4in^2
Total area=Area of the rectangle+Area of the trapezoid
Total area=47 1/2 in^2+3 3/4in^2
Total area=190/4 in^2+ 15/4in^2
Total area=205/4in^2
Total area=51 1/4in^2
Finally we obtain that the total area of the figure is 51 1/4 in^2.