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 field was divided?What are the shapes of these parts?The farmer wants to sow wheat and pulses in equal positions of the field separately.How should she do it?​

Answer 1

The diagram is given attached!

Area of triangle ARQ+Area of triangle ASP+Area of triangle ATP=Area of parallelogram PQRS.

Here the farmer wants to divide his field such that,

Area where wheat is sown=Area where pulses are grown.

In parallelogram PQRS,PQ||RS (since PQ and RS are the opposite sides of a parallelogram).

Now triangle APQ and parallelogram PQRS are on the same base PQ and between the same Parallel Lines cube and RS and PQ.

Area of triangleAPQ=1/2Area of parallelogram PQRS.

=1/2(Area of triangleAQR+Area of triangleAQP+Area of triangleAPS)

=>2×(Area of triangleAPQ)=Area of triangleARQ+ area of triangleAPQ+ area of triangleASP

=>Area of triangleAPQ=Area of triangleARQ+Area of triangleASP.

So, the farmer must sow wheat in triangleAPQ and Grow pulses in triangleARQ and triangleASP

or

the farmer can sow wheat in triangleARQ and in triangleASP and grow pulses in triangleAPQ.

So this is the answer...

It was a bit tricky some

Hope this answer will help you!

Please hit thanks!