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in Perimeter and Area of Plane Figures by (40.2k points)
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Find the area enclosed by each of the following figures

i)

ii)

 

1 Answer

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Best answer

i)  Area of a figure ABCDEF = Area of square ABCF + area of trapezium CDEF 

= AB × BC + 1/2 × CG × (ED + CF) 

= 18 × 18 + 1/2 × 8 × (7+ 18)

 [∵h = CG = 8 cm, FC = AB = 18 cm] 

= 324 + 4 × 25

= 324 + 100 

= 424 cm2      

ii) Area of a figure ABCDEF = Area of rectangle ABCD + area of trapezium ADEF 

= AB × BC + 1/2 × GA × (EF + AD) 

= 20 × 15 + 1/2 × 8 × (6 + 15) 

[∵ GA = GB-AB = 28-20 = 8cm; AD = BC – 15 cm] 

= 300 + 4 × 21 

= 300 + 84 

= 384 sq.cm

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