Question

Find the area of polygon ABCDEFGH given below

​

Answer 1

Answer:

Step-by-step explanation:

D=18cm,AQ=14cm,AN=8cm,AM=4cm

QD=AD−AQ=18cm−14cm=4cm

NQ=AQ−AN=14cm−8cm=6cm

PD=AD−AP=18cm−12cm=6cm

MP=AP−PM=12cm−4cm=8cm

Area of △AMF=  

2

1

​  

×5cm×4cm=10cm  

2

 

Area of △EPD=  

2

1

​  

×6cm×6cm=18cm  

2

 

Area of △QCD=  

2

1

​  

×4cm×4cm=8cm  

2

 

Area of BCQN=  

2

1

​  

×(5+4)cm×6cm=27cm  

2

 

Area of EMFQ=  

2

1

​  

×(5+6)cm×10cm=55cm  

2

 

Area of polygon ABCDEF=Area of △AMF+Area of △EPD+Area of △QCD+Area of BCQN+Area of EMFQ=(10+18+8+27+55)cm  

2

=118cm  

2

Answer 2

Answer:

$108 {cm}^{2}$

Step-by-step explanation:

area of square is 36

area of trapezium=1/2*(12+6)*8

=72

total area=72+36

=108