Question
A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the fields is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?
Solution
∵ ΔAPQ, ΔAPS and ΔAQR lie between the same parallels
∴ Their altitudes are same. Let it be x. Then,
∴ Their altitudes are same. Let it be x. Then,
∵ SR = PQ (opposite sides of parallelogram are equal)
Therefore, either the farmer should sow wheat in ΔAPQ and pulses in the other two triangles APS and AQR or pulses in ΔAPQ and wheat in the other two triangles APS and AQR.
