Telangana Board Solutions for Chapter: Area and Perimeter, Exercise 5: Exercise - 3

Why is the formula for finding the area of a rectangle related to the formula for finding the area of a parallelogram?

Explain why a rectangle is a parallelogram but a parallelogram may not be a rectangle.

In a triangle the height is double the base and the area is $400{\mathrm{cm}}^2$. Find the length of the base and height.

The area of a triangle is equal to the area of a rectangle whose length and breadth are $20\mathrm{cm}$ and $15\mathrm{cm}$ respectively. The height of the triangle is $k \mathrm{cm}$ if its base measures $30\mathrm{cm}$. Find the value of $k$.

In figure $\mathrm{ABCD}$, the area of shaded region is $k {\mathrm{cm}}^2$. Find $k$.

In figure $\mathrm{ABCD}$, the area of the shaded region is $k {\mathrm{cm}}^2$.

The area of a parallelogram $\mathrm{PQRS}$, if $\mathrm{PR}=24 \mathrm{cm}$ and $\mathrm{QU}=\mathrm{ST}=8 \mathrm{cm}$ is $k {\mathrm{cm}}^2$. Find $k$.

The base and height of the triangle are in the ratio $3:2$ and its area is $108{\mathrm{cm}}^2$. Find its base and height.