Question

4. Find the area of the polygon ABCDEF
if ABAFE ACDE.
B
50 cm ->
AS
30 cm
30 cm
D
F
E
70 cm​

Answer 1

Answer:

Step-by-step explanation:

BN=AB−AN

=240−160=80m

MB=AN−AM

=160−100=60m

LN=AN−AL

=160−80=80m

areaofpolygonABCDEF=

areaofΔALC+areaofΔDBN+areaofΔBEM+

areaoftrapezium(CDNL)+areaoftrapezium(AMEF)

⇒  

2

1

​  

×AL×CL+  

2

1

​  

×BN×DN+  

2

1

​  

×EM×MB+  

2

1

​  

×(CL+DN)×LN+  

2

1

​  

×AF+EM×AM

2

1

​  

×80×50+  

2

1

​  

×80×60+  

2

1

​  

×40×60+  

2

1

​  

×(50+60)×80+  

2

1

​  

×(30+40)×100

⇒2000+2400+1200+4400+3500

⇒13,500m  

2

 

​