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A villager Itwaari has a plot of land o...

A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayatof the village decided to take over some portion of his plot from one of the corners toconstruct a Health Centre. Itwaari agrees to the above proposal with the conditionthat he should be given equal amount of land in lieu of his land adjoining his plot soas to form a triangular plot. Explain how this proposal will be implemented.

Text Solution

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`/_\DEB` and `/_\DAB` lie on the same base `BD`, in-between the same parallels `BD` and `AE`.
Therefore,
`ar(DEB) = ar(DAB)`
`rArr ar(DEB) – ar(DOB) = ar(DAB) – ar(DOB)`
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