Question

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My question:

Total area of quadrilateral ABCD is 20 cm² and offsets on BD are 2 cm and 3 cm. The length of BD is

i) 5 cm ii) 6 cm iii) 8 cm
iv) 10 cm

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Answer 1

Answer : (!!!) 8

Area of the quadilateral = 20cm2

Area formula of this quadilateral = 1/2 × d × {h1 + h2}

Area = 1/2 × d ×(h1 + h2 )

20 = 1/2 × D × { 2 + 3 }

20 = 1/2 × D × {5}

D = 20 × 2 / 5

D = 40/5

D = 8

Hence BD = 8

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