E 10. Find the area of the polygon in the adjoining figure. F 5 cm 3 cm 4 cm G 4 cm 7 cm H 7 cm A 5 cm C B
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In the given figure,
ABCDE, AD=8cm,AH=6cm,AG=4cm,AF=3cm
BF=2cm,CH=3cm and EG=2.5cm
The given figure consists of 3 triangles and one trapezium.
Now
Area of △AED=21×AD×GE=21×8×2.5=10cm2
Area of △ABF=21×AF×BF=21×3×2=3cm2
Area of △CDH=21×HD×CH=21×(AD−AH)×3
=21×(8−6)×3=21×2×3=3cm2
Area of trapezium BFHC=21×(BF+CH)×FH
=
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