Q. Find the area of a trapezium whose parallel sides are $9$ cm and $6$ cm respectively and the distance between these sides is $8$ cm.

Q. In figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

Q. Find the area of a figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm and 16 cm.

Q. The given figure shows a pentagon $ABCDE$ .$EG$ drawn parallel to $DA$ meets $BA$ producedat G and $CF$ drawn parallel to $DB$ meets $AB$ produced at $F$ .
Prove that the area of pentagon $ABCDE$ is equal to the area of triangle $GDF$ .

Q. Calculate the area of Trapezium. $$PQRS$$ given in figure.

Q. In the adjoining figure, show that $$ABCD$$ is parallelogram. Calculate the area of parallelogram $$ABCD$$.

Q. Does the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels.

Q. Does the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels.

Q. Calculate the area of $$\square ABCD$$ given in figure.

Q. In a parallelogram $$ABCD$$, it being that $$AB=10\ cm$$ and the altitudes corresponding to the sides $$AB$$ and $$AD$$ ate $$DL=6\ cm$$ and $$BM=8\ cm$$, respectively. Find $$AD$$.

Q. In the adjoining figure, $$ABCD$$ is a quadrilateral in which diag $$BD=14\ cm$$. If $$AL\bot BD$$ and $$CM\bot BD$$ such that $$AL=8\ cm$$ and $$CM=6\ cm$$, find the area of $$\square ABCD$$.

Q. $$BD$$ is one of the diagonals of a quad, $$ABCD$$. If $$AL \bot BD$$ and $$CM\bot BD$$, show that $$Area(\square \ ABCD)=\dfrac{1}{2}\times BD\times (AL +CM)$$.

Q. Does the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels.

Q. Does the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels.

Q. Does the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels.

Q. Does the following figure lie on the same base and between the same parallels? In such a case, write the common base and two parallels.

Q.

Q. $M$ is the midpoint of the side $AB$ of a parallelogram $ABCD$. If $ar\left(AMCD\right)=24c{m}^2$, find $ar\left(△ABC\right)$.

Q. If $P$ and $Q$ are any two points lying respectively on the sides $DC$ and $AD$ of a parallelogram $ABCD$ then show that $ar\left(△APB\right)=ar\left(△BQC\right)$

Q. In the adjoining figure, $MNPQ$ and $ABPQ$ are parallelogram and $T$ is any point on the side $BP$. Prove that
$ar\left(MNPQ\right)=ar\left(ABPQ\right)$