To raise the height of a rectangular low land 48 m long and 31.5 m broad to 6.5 dm, a ditch 27 m long and 18.2 m broad was dug in a side rectangular plot. What will be the depth of the ditch.

A rectangular courtyard is 20 m 48 cm long and 9m 60cm broad. It is to be paved with square stones of same size. Find the least possible number of such stone.

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?

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?

The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity.Sapling of Gulmohar are planted on the boundary at a distance of 1 m from each other.There is a triangular grassy lawn in the plot as shown in the Fig.7.14.The students are to sow seeds of flowering plants on the plot. (ii) What will be the coordinates of the vertices of trianglePQR if C is the origin?

The soil dug out from a plot of land of length 50m and breadth 40m to a depth of 7m was evenly spread out over a plot of land of size 200mxx150m .Find the increased height of the second plot of land as a result of the spreading out of the soil.

A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope. Find the area of that part of the field in which the horse can graze and the increase in the grazing area if the rope were 10 m long instead of 5 m.

A rectangular coil having 60 turns and area of 0.4m^2 is held at right angles to a uniform magnetic field of flux density 5×10^−5T. Calculate the magnetic flux passing through it.

A drunkard walking in a narrow lane takes 5 steps forward and * 3 steps backward, followed again by 5 steps fonvard and 3 steps backward, and S0 on. Each step is 1 m long and requires 1 s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start.

A long straight wire carries a current of 10 ampere. An electron travels with a velocity of 5.0x10 ms parallel to the wire at 0.1 m from it and in a direction opposite to the current. What force is exerted on the electron ?.

A stone is thrown in a vertically upward direction with a velocity of 5 m s^1 . If the acceleration of the stone during its motion is 10m s^-2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?