Question

find the area of the given polygon a b c d e f g h I j given a d = 7 cm AI = 6 CM r e = j p = 4 cm b q = SG = 3 cm BC =HG = 5 cm​

Answer 1

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Class 10

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>>Areas of Combinations of Plane Figures

>>Find the area of polygon ABCDEF , if AD

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Find the area of polygon ABCDEF, if AD=18cm,AQ=14cm,AP=12cm,AN=8cm,AM=4cm and FM,EP,QC and BN are perpendicular to diagonal AD.

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Solution

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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