Answer:
Option A. 41 unit²
Step-by-step explanation:
The given figure on a graph consist of one right angle triangle and a rectangle.
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
= [tex]\frac{1}{2}[/tex] × ( BC + DE) × ( AE - CD )
= [tex]\frac{1}{2}[/tex] × ( 6+4 ) × ( 9-4 )
= [tex]\frac{1}{2}[/tex] × 10 × 5
= [tex]\frac{50}{2}[/tex] = 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.
