Question

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 of 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? State reasons?

Answer 1

The parallelogram PQRS point A divided feild in three parts which are triangular shape

Here parallelogram PQRS and triangle APQ lie on same base PQ and between same parallel line PQ and RS

$\therefore Area\left(\Delta APQ\right)=\frac{1}{2}area\left(PQRS\right)$

$\Rightarrow area\left(\Delta APQ\right)=area\left(\Delta ASP\right)+area\left(\Delta ARQ\right)$

Thus farmer should sow groundnuts in part triangle APQ and saw pluses in other parts of triangle ASP and ARQ the equal