R Chandra Solutions for Chapter: Areas of Parallelograms and Triangles, Exercise 2: TEST YOUR SKILLS

Which of the following is true for two figures having equal area?

$ABCD$ is a parallelogram and $AC$ is drawn parallel to $ED\mathit{.}\mathit{ }EC$ is joined. Which of the following is correct?

In the figure $\mathrm{a}\mathrm{r}\left(\mathrm{q}\mathrm{u}\mathrm{a}\mathrm{d}\mathrm{A}\mathrm{B}\mathrm{E}\mathrm{F}\right)=20\mathrm{}\mathrm{c}{\mathrm{m}}^2$ and $\mathrm{a}\mathrm{r}\left(\mathrm{q}\mathrm{u}\mathrm{a}\mathrm{d}\mathrm{A}\mathrm{B}\mathrm{E}\mathrm{D}\right)=27\mathrm{}\mathrm{c}{\mathrm{m}}^2$. What is the area of $△\mathrm{A}\mathrm{D}\mathrm{F}$?

In the figure what is the area of $∆\mathrm{A}\mathrm{B}\mathrm{E}$?

Two parallelograms $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$ and $\mathrm{P}\mathrm{B}\mathrm{C}\mathrm{S}$ are on the same base $\mathrm{B}\mathrm{C}$ and between the same parallels $\mathrm{B}\mathrm{C}$ and $\mathrm{A}\mathrm{S}$. If $\mathrm{a}\mathrm{r}\left(\mathrm{P}\mathrm{B}\mathrm{C}\mathrm{S}\right)=25\mathrm{}\mathrm{c}{\mathrm{m}}^2$ then what is $\mathrm{a}\mathrm{r}\left(\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}\right)$?

In the figure, $\mathrm{A}\mathrm{D}$ is a median and $\mathrm{P}$ is a point on it. Which of the following is correct?

In the figure, the area of $△\mathrm{ADC}$ is equal to the area of $△\mathrm{ABC}$. Which of the following is correct?

If a triangle and a parallelogram are on the same base and between same parallels, then what is the ratio of the area of the triangle to the area of parallelogram?