Answer:
Option A. 41 unit²
Explanation:
The given figure on a graph consist of one right angle triangle and a rectangle.
Area of a triangle =
× base × height
=
× ( BC + DE) × ( AE - CD )
=
× ( 6+4 ) × ( 9-4 )
=
× 10 × 5
=
= 25.0 unit²
Area of rectangle = length × width
= DE × CD
= 4 × 4
= 16 unit²
Total area of the figure = 25 + 16 = 41 unit²
Option A is the answer.