 Hi and welcome to the session. I am Kanika and I am going to help you to solve the polyquestion. The question says a villager Idwari has a plot of land of the shape of a quadrilateral. The grandma child of the villager decided to take over some portion of his plot from one of the corners to construct a hill center. Idwari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot to form a triangular plot. Explain how this proposal will be implemented. Let's now begin with the solution. Let ABCD be a plot of land in the form of a quadrilateral. Now read the second statement of the question. It says that the grandma child of the villager decided to take over some portion of his plot from one of the corners to construct a hill center. So suppose A is the corner of the plot from where the grandma child has taken land for constructing a hill center. So this is the land which grandma child has taken for constructing a hill center. So through B we have drawn a line BG parallel to AC and then we have joined AE. Question, it agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangle. In place of this equation as equation number one, we will add area of triangle sides of equation one equals to area of plus area of triangle ADC plus triangle ADC is equal to quadrilateral ABCD. So the BAC plus area of triangle ADC is equal to ADE. So area understood the solution well.