Mr. X has a rectangular plot of land of length `16m`. He wants to sell a portion of it which will be of the shape of a square of side length equal to the breadth of the rectangular plot in such a manner that the remaining portion is of the area of `100 sq. m`. Is it possible?

Mr. Sharma has a rectangular plot of land of length 14 m . He wants to sell a portion of it which will be of the shape of a square of side length equal to the breadth of the rectangular plot in such a manner that the remaining portion of it of the area of 50 sq. m . Is it possible?

Represent the following situations in the form of quadratic equations:(i)The area of a rectangular plot is 528m^2 .The length of the plot(in meters) is one more than twice its breadth.We need to find length and breadth of the plot.

Is it possible to design a rectangular park of perimeter 80 m and area 400m^2 ?If so,find its length and breadth.

Is it possible to design a rectangular mango grove whose length is twice its breadth,and the area is 800m^2 ?If so,find its length and breadth.

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.

Work Problem on Geometry The perimeter of a rectangular field is 80 m. If the length of the field id decreased by 2m and breadth is increased by 3 m, then the area of the field is increased by 64 sq.m. Find the dimension of the field.