$A$ triangle and a parallelogram have the same base and the same area. If the sides of the triangle are $26 \, cm$,$28 \, cm$,and $30 \, cm$,and the parallelogram stands on the base $28 \, cm$,find the height of the parallelogram. (in $, cm$)

$A$ kite in the shape of a square with a diagonal $32\, cm$ and an isosceles triangle of base $8\, cm$ and sides $6\, cm$ each is to be made of three different shades as shown in the figure. How much paper of each shade has been used in it?

Students of a school staged a rally for a cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes $AB, BC$ and $CA$; while the other through $AC, CD$ and $DA$ (see Fig.). Then they cleaned the area enclosed within their lanes. If $AB = 9 \, m, BC = 40 \, m, CD = 15 \, m, DA = 28 \, m$ and $\angle B = 90^{\circ}$,which group cleaned more area and by how much (in $, m^2$)? Find the total area cleaned by the students (neglecting the width of the lanes).

$A$ field is in the shape of a trapezium whose parallel sides are $25\, m$ and $10\, m$. The non-parallel sides are $14\, m$ and $13\, m$. Find the area of the field. (in $, m^{2}$)

An isosceles triangle has a perimeter of $30 \, cm$ and each of the equal sides is $12 \, cm$. Find the area of the triangle.

Radha made a picture of an aeroplane with coloured paper as shown in the figure. Find the total area of the paper used. (in $, cm^{2}$)