Nazma's sister also has a trapezium shaped plot. Divide it into three parts as shown (fig. 11.4). Show that the area of trapezium WXYZ `= ( h ( a + b) )/( 2)`

Nazma's sister also has a trapezium shaped plot.Divide it into three parts a s shown in the figure.Show that the area of trapezium WXYZ=(h(a+b))/x

L L ' is the latus rectum of the parabola y^2 = 4ax and PP' is a double ordinate drawn between the vertex and the latus rectum. Show that the area of the trapezium P P^(prime)L L ' is maximum when the distance P P ' from the vertex is a//9.

A man who had a plot in the shape of a parallelogram divided it into three equal parts and gave one-thrid part ot his son which again was in the shape of a parallelogram. The son seeing that there was no school in the village ecides to open a school there. Answer the following questions: Show how could this decision of the man be implemented. What part did the son get? Explain with figure.

A tent is in the shape of a cylinder surmounted by a conical top.If the height and diameter of the cylindrical part are 2.1m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m^2 (Note that the base of the tent will not be covered with canvas.)

If h=10 cm,c=6cm,b=12 cm,d=4 cm,find the values of each of its parts separately and add to find the area WXYZ.Verify it by putting the values of h,a and b in the expression (h(a+b))/2 .

Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A(2,- 2) and B(-7, 4).

Sanya has a piece of land which is in the shape of a rhombus (See Fig. ). She wants her one daughter and one son to work on the land and produce different crops to suffice the needs of their family. She divided the land in two parts by joining its opposite comers. If the perimeter of the land is 400 m and one of the diagonals is 160 m, how much area each of them will get to work on.