R. D. Sharma Solutions for Chapter: Mensuration-I (Area of a Trapezium and a Polygon), Exercise 2: EXERCISE

The area of a trapezium is $91 {\mathrm{cm}}^2$ and its height is $7 \mathrm{cm}$. If one of the parallel sides is longer than the other by $8 \mathrm{cm}$, find the two 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 $12 \mathrm{cm}.$ Find the length of each one of the parallel sides

The area of a trapezium is $1586 {\mathrm{cm}}^2$and the distance between the parallel sides is $26 \mathrm{cm}$. If one of the parallel sides is $38 \mathrm{cm}$. find the other.

The parallel sides of a trapezium are $25 \mathrm{cm}$ and $13 \mathrm{cm}$; its non-parallel sides are equal, each being $10 \mathrm{cm}$, find the area of the trapezium.

If the area of a trapezium is $a\sqrt{21} c{m}^2$ whose parallel sides are $25 \mathrm{cm},13 \mathrm{cm}$ and the other sides are $15\mathrm{cm}$ each. Find $a$.

If the area of a trapezium is $28 {\mathrm{cm}}^2$ and one of its parallel sides is $6 \mathrm{cm}$, find the other parallel side if its altitude is $4 \mathrm{cm}$. If the answer is $k \mathrm{cm}$ then find $k$.

In the given figure, a parallelogram is drawn in a trapezium, the area of the parallelogram is $80 {\mathrm{cm}}^2$. If the area of the trapezium is $k {\mathrm{cm}}^2$, find the value of $k$.

Find the area of the field shown in fig. by dividing it into a square, a rectangle and a trapezium.