Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Mensuration, Exercise 2: Topic Exercise 11.2

The area of a trapezium with equal non-parallel sides is $168 {\mathrm{m}}^2$. If the lengths of the parallel sides are $36 \mathrm{m}$and$20 \mathrm{m}$. Find the length of the non-parallel sides.

The area of a trapezium is $384 {\mathrm{cm}}^2$. Its parallel sides are in the ratio$3:5$and the perpendicular distance between them is $12 \mathrm{cm}$. If the length of the smaller parallel side is $k \mathrm{cm}$, then find the value of $k$.

The ratio of the length of the parallel side of a trapezium is$3:2$, the shortest distance between them is $15 \mathrm{cm}$. If the area of the trapezium is $450 {\mathrm{cm}}^2$, then find the sum of the lengths of the parallel sides.

Diagonals of a rhombus are $1 \mathrm{m}$ and $1.5 \mathrm{m}$ in lengths. If the area of the rhombus is $k m^2$, then find $k$ (upto two decimal places).

If the diagonals of a rhombus are $4.8 \mathrm{cm}$ and $1.4 \mathrm{cm}$, then what is the perimeter of the rhombus?

One side of a parallelogram is$8.06 \mathrm{cm}$ and its perpendicular distance from opposite side is $2.08\mathit{ }\mathrm{cm}$. What is the approximate area of the parallelogram ? (Give write answer to two decimal places).

The base of a parallelogram is thrice of its height. Given, the area of the parallelogram is $2187 {\mathrm{cm}}^2$. If the height is $k \mathrm{cm}$, then find the value of $k$.

The base of a parallelogram is twice its height. Given, the area of the parallelogram is $144 {\mathrm{cm}}^2$. If the height is $k\sqrt{2} \mathrm{cm}$, then find the value of $k$.