There is a man who plotted a land in shape of a trapezium with its parallel sides to be 15m and 5m & height=9m.

The Panchayat decided to take a triangular plot of land from one side to construct a school. He reluctantly agrees to this.
is this can be possible? Which are the possible triangular plots that can be taken by the Gram Panchayat?
and What value of the rich man can be seen here?
also, find area of parallelogram

I'm finding a hard time interpreting "What value of the rich man can be seen here?"

To get a parallelogram, slice off a triangle from one end so the dividing line is parallel to the other end of the trapezium.

The area of the remaining parallelogram is base * height

thank u so much sir

but Which are the possible triangular plots that can be taken by the Gram Panchayat?

he can take off a triangle from either end, so the remaining area is a parallelogram.

Draw the figure, and then draw a line from either end of the short base which is parallel to the other end of the trapezium. That will divide the figure into a parallelogram and a triangle.

Not sure how to say it any more clearly.

To determine if it is possible for the Gram Panchayat to take a triangular plot of land from one side, we need to consider the dimensions of the trapezium. In a trapezium, the two parallel sides are called the bases, and the height is the perpendicular distance between these bases.

Given that the parallel sides of the trapezium are 15m and 5m respectively, and the height is 9m, we can see that the height is smaller than the smaller base. In this case, it is not possible to construct a triangular plot of land by taking it from one side of the trapezium, as the height is shorter than the width of the smaller base.

The value of the rich man in this scenario is that he reluctantly agrees to the decision of the Panchayat to take a triangular plot of land from his property to construct a school. This implies that he is willing to contribute to the development of the community by sacrificing a portion of his land, even though he may not prefer it.

To find the area of the parallelogram, we can use the formula A = base * height. In this case, the base of the parallelogram is the length of the larger side of the trapezium (15m), and the height is the height of the trapezium (9m).

Plugging these values into the formula, we have:
A = 15m * 9m = 135 square meters.

Therefore, the area of the parallelogram is 135 square meters.