Answer:
The area of the composite figure = 12.785 square units
Step-by-step explanation:
The figure composite of :
A ⇒ Rectangle with coordinates (0,0) , (0,5) , (2,5) and (2,0)
B ⇒ Rectangle with coordinates (2,0) , (2,1) , (4,1) and (4.0)
C ⇒ Quarter of a circle with coordinates (2,1) , (2,2) and (3,1)
Area of A: Length = 5 and Width =2
Area of A = Length times the width = 5*2 = 10 square units
Area of B: Length = 2 and Width =1
Area of B = Length times the width = 2*1 = 2 square units
Area of C: radius = 1
Area of C = 0.25 * pi * r² = 0.25 * 3.14 * 1² = 0.785 square units
Total Area = 10 + 2 + 0.785 = 12.785 square units
