Answer:
The area of the composite figure is:
26 square units.
Step-by-step explanation:
The area of the composite figure is equal to:
Area of rectangle ABEI+Area of ΔBIC+Area of ΔDHC+Area of ΔDHE.
Now,
<u>In rectangle ABEI:</u>
Length(l)=5 units.
breadth(b)=2 units.
Area of rectangle ABEI=l×b
=5×2=10 square units.
<u>In ΔBIC:</u>
Base(b)=2 units.
Height(h)=2 units.
Area of ΔBIC=(1/2)×b×h
=(1/2)×2×2=2 square units.
<u>In ΔDHC:</u>
Base(b)=4 units.
Height(h)=4 units.
Area of ΔDHC=(1/2)×b×h
=(1/2)×4×4=8 square units.
<u>In ΔDHE:</u>
Base(b)=3 units.
Height(h)=4 units.
Area of ΔDHC=(1/2)×b×h
=(1/2)×3×4=6 square units.
Hence, area of figure formed by these points=10+2+6+8
=26 square units.