Answer:
218.665
Explanation:
Separate by shape, find the areas of the triangles first, so (10.1 x w)/2 To get the missing side you do 30.5-21.4=9.1. then divide that by 2 because you have 2 lines (triangles) that aren't part of the 21.4. After you find the area for the one triangle (10.1 x 4.55)/2=22.9775, multiply by 2 to get the combined area of both triangles. Next step is to find the area of the rectangle, which is just 21.4 x 30.5=216.14. Add all the areas, 45.955+216.14=262.095. Last step is to subtract the area of the shaded region, the rhombus, which is just diagonal x diagonal / 2. so (8.6 x 10.1)/2=43.43. 262.095-43.43=218.665.