Answer:
The answer to your question is the letter D. 19.5 u²
Step-by-step explanation:
Process
1.- Calculate the Area of the rectangle ABCD
Area of a rectangle = base x height
= (4 + 5) x 3
= 9 x 3
= 27 u²
2.- Calculate the area of the large triangle
Area of a triangle = base x height/2
-Substitution
Area of a triangle = (4 + 5) x 3/2
-Simplification
Area of a triangle = 9 x 3/2
-Result
Area of a triangle = 13.5 u²
3.- Calculate the area of the small triangle
Area of the triangle = 4 x 3/2
Area of the triangle = 6 u²
4.- Sum up the area of the triangles
Shaded area = 13.5 + 6 = 19.5 u²
