Question

Find the area of polygon ABCDEF if AD= 9cm ,AP = 7cm , AQ= 6cm,AR=4cm , and AS=2cm.BS,CQ,EP and FR are perpendiculars to diagonal AD.              ​

Answer 1

Answer:

118 sq.cm

Step-by-step explanation:

AD=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