Question

farming was having a field in the form of parallelogram pqrs due to any point a on rs and joined it points p and q in how many parts the field is divided? what are the shapes of these parts? the farmer wants to show weight and price in equal portion of the field separately how should she do it
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Answer 1

Step-by-step explanation:

The field is divided in three triangles.

Since △APQ and parallelogram PQRS are on the same base PQ and between the same parallels PQ and RS.

∴ar(APQ)=

2

1

ar(PQRS)

2ar(APQ)=ar(PQRS)

But,

ar(PQRS)=ar(APQ)+ar(PSA)+ar(ARQ)(From fig.)

2ar(APQ)=ar(APQ)+ar(PSA)+ar(ARQ)

ar(APQ)=ar(PSA)+ar(ARQ)

Thus, area of △APQ=area of △PSA+area of △ARQ

To sow wheat and pulses in equal portions of the field separately, farmer should sow wheat in △APQ and pulses in other two triangles or pulses in △APQ and wheat in other two triangles.