R S Aggarwal and Veena Aggarwal Solutions for Exercise 2: MULTIPLE-CHOICE QUESTIONS (MCQ)

In the given figure, $ABCD$ and $ABPQ$ are two parallelograms and $M$ is a point on $AQ$ and $BMP$ is a triangle. Then, $ar(△BMP)=\frac{1}{2}ar( ▱ABCD)$ is 

Which of the following is a false statement?

Which of the following statements are true?

Statement $\mathrm{I}$: A parallelogram and a rectangle on the same base and between the same parallels are equal in area.

Statement $\mathrm{II}$: In a parallelogram $ABCD,$ it is given that $AB=10 \mathrm{cm}$. The altitudes $DE$ on $AB$ and $BF$ on $AD$ being $6 \mathrm{cm}$ and $8 \mathrm{cm}$ respectively, then $AD=7.5 \mathrm{cm}$

Statement $\mathrm{III}$: Area of a parallelogram $=\frac{1}{2}\times \mathrm{base}\times \mathrm{altitude}$