C

Step 1: Consider the polygon as two triangles and a rectangle as shown by the dashed lines.

Step 2: Area of the triangle FED = 12 × base × height[Formula.]

Step 3: = 12 × 4 × 3 = 6 in.²[Substitute base = 4, height = 3 and simplify.]

Step 4: Area of triangle ABC = 12 × base × height = 12 × 5 × 5 = 12.5 in.²[Substitute base = height = 5.]

Step 5: Length of the rectangle ADGH = 8 in. and width = 4 + 3 = 7 in.

Step 6: Area of the rectangle = l × w[Formula.]

Step 7: = 8 × 7 = 56 in.²[Substitute length, l = 8 and width, w = 7.]

Step 8: Area of the figure = area of the two triangles + area of the rectangle.

Step 9: = 6 + 12.5 + 56 = 74.5 in.²[Substitute the values and add.]

Step 10: So, the area of the figure is 74.5 in.²