A farmer has a field in the form of a parallelogram PQRS as shown in the figure. He took the mid-point A on RS and joined it to points P and Q. In how many parts the field is divided? What are the shapes of these parts? The farmer wants to sow groundnuts which are equal to the sum of pulses and paddy. How should he sow? Class: Grade 9

# A farmer has a field in the form of a parallelogram PQRS as shown in the figure. He took the mid-point A on RS and joined it to points P and Q. In how many parts the field is divided? What are the shapes of these parts? The farmer wants to sow groundnuts which are equal to the sum of pulses and paddy. How should he sow? Class: Grade 9

1. A
ΔASP+ΔARQ
2. B
ΔPQR+ΔABQ
3. C
ΔAPS+ΔPQR
4. D
ΔTRS+ ΔQPS

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### Solution:

The we have ΔAPQ, quadrilateral PQRS are on the some PQ and between the some parallels PQ SR.
ΔAPQ =½ PQRS
PQRS - ΔAAPQ = ½ pQRS
½ PQRS = ΔASP +ΔARQ
The farmer may saw groundnuts on ΔAPQ region
The farmer may sow pulses on ΔASP region
The farmer may sow paddy on ΔARQ region
Hence, option 1 is correct.

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