O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 3: Exercise

If the area of a rhombus which has diagonals of $8 \mathrm{cm}$ and $10 \mathrm{cm}$ is $k {\mathrm{cm}}^2$, then find the value of $k$.

The area of a rhombus is $98 {\mathrm{cm}}^2$. If the diagonals are $14 \mathrm{cm}$ and $k \mathrm{cm}$, then find the value of $k$.

$\mathrm{PQRS}$ is a rhombus. If it is given that $\mathrm{PQ}=3 \mathrm{cm}$, calculate the perimeter of $\mathrm{PQRS}$.

$PQRS$ is a rhombus. If it is given that $PQ= 3 \mathrm{cm}$, the height of the rhombus is $2.5 \mathrm{cm}$ and its area is $k {\mathrm{cm}}^2$, then find the value of $k$.

$\mathrm{PQRS}$ is a rhombus. The diagonals of a rhombus are $8 \mathrm{cm}$ and $6 \mathrm{cm}$ respectively. Find its Perimeter.

The sides of a rhombus are $5 \mathrm{cm}$ each and one diagonal is $8 \mathrm{cm}$. If the length of the other diagonal is $k \mathrm{cm}$, find the value of $k$.

The sides of a rhombus are $5 \mathrm{cm}$ each and one diagonal is $8 \mathrm{cm}$. If the area of the rhombus is $k {\mathrm{cm}}^2$, then find the value of $k$.

In the given figure, $ABCX$ is a rhombus of side $5 \mathrm{cm}$. Angles $BAD$ and $ADC$ are right angles. If $DC=8 \mathrm{cm}$ and the area of $ABCX$ is $k {\mathrm{cm}}^2$, then find the value of $k$.