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Sumaiyajr2567
30.11.2020 •
History
Explain US territorial growth during the first half of the 19th century
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Ответ:
Area of polygon is:
39 square units.
Step-by-step explanation:
The area of polygon is equal to:
Area of ΔBAF+Area of ΔFGC+Area of ΔAEF+Area of rectangle EFGD.
Firstly we will draw a perpendicular from point B to side which is the base(b)=7 units. to obtain the height(h)=3 units
Area of ΔBAF= (1/2)×b×h
=(1/2)×7×3=21/2 square units(1)
Also in ΔFGC:
Base(b)=FG=4 units
and height(h)=GC=3 units.
Area of ΔFGC=(1/2)×b×h
=(1/2)×4×3
=6 square units(2)
In ΔAEF:
Base(b)=7 units.
Height(h)=FE=3 units.
Area of ΔAEF=(1/2)×7×3
=21/2 square units(3)
Now in rectangle EFGD:
Length(l)=ED=4 units
Breadth(b)=DG=3 units
Area of rectangle EFGD=l×b
=4×3
=12 square units(4)
Hence, Area of Polygon is: (1)+(2)+(3)+(4)
Hence, The area of Polygon is:
39 square units.