Q. 64.1( 320 Votes )
A farmer was havi
Answer :
From the figure, it can be observed that point A divides the field into three parts. These parts are triangular in shape − ΔPSA, ΔPAQ, and ΔQRA
Area of ΔPSA + Area of ΔPAQ + Area of ΔQRA = Area of Parallelogram PQRS ..............eq(i)
We know that if a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is half the area of the parallelogram
Therefore,
Area (ΔPAQ) = Area (PQRS) .............eq(ii)
From equations (i) and (ii), we obtain
Area (ΔPSA) + Area (ΔQRA) + 1/2 Area (PQRS) = Area (PQRS)
Area (ΔPSA) + Area (ΔQRA) = 1/2 Area (PQRS) ....(iii)
Clearly, it can be observed that the farmer must sow wheat in triangular part PAQ
and pulses in other two triangular parts PSA and QRA or
wheat in triangular parts PSA and QRA and pulses in triangular parts PAQ.
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