Parallelograms on the Same Base and Between Same Parallels

Q.
In figure, area of parallelogram is $64m^2.$Its sides are 16 m and 8 m.Find the height $h_{1}and{h}_2.$

1. $h_1=4m\text{and}{h}_2=5m$
2. $h_1=8m\text{and}{h}_2=4m$
3. $h_1=9m\text{and}{h}_2=8m$
4. $h_1=8m\text{and}{h}_2=10m$

Q. In the given figure, ratio of AG to GH is 1:3, area of parallelogram ABFE is 10 $c{m}^2$, then find the area of parallelogram ABCD

1. 40 $c{m}^2$
2. 30 $c{m}^2$
3. 80 $c{m}^2$
4. 60 $c{m}^2$

Q.

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is:

1. 1 : 2

2. 1 : 1

3. 2 : 1

4. 1 : 4

Q.
In the figure, if $TD\parallel PO\parallel CH,$ then which of the following are true.

1. $\text{ar}\left(△COP\right)=\text{ar}\left(△HOP\right)$
2. $\text{ar}\left(△COP\right)=\text{ar}\left(△POD\right)$
3. $\text{ar}\left(△POT\right)=\text{ar}\left(△POD\right)$
4. $\text{ar}\left(△COT\right)=\text{ar}\left(△HPD\right)$

Q.

Two parallelograms are on the same base and between the same parallels. The ratio of their areas is:

1. 1 : 1

2. 1 : 2

3. 2 : 1

4. 1 : 4

Q. Identify the pairs of triangles that have the same base and are between the same parallels.

1. $△DIP$ and $△DIN$
2. $△AIP$ and $△AIL$
3. $△AIN$ and $△DIN$
4. $△LIP$ and $△LAP$

Q. Two triangles on the same / (equal base) and between the same parallels have .

1. equal perimeter
2. equal area
3. unequal area

Q. Ratio of areas of two parallelograms on the same base and between the same parallel lines is

1. 1 : 2
2. 1 : 1
3. 1 : 4
4. 2 : 3

Q. Area of a parallelogram = ________ .

1. Base x Height
2. 1/2 x Base x Height
3. Side x Side
4. Length x Breadth

Q.
In the figure, CAKE and LAKS are rectangles. P, O, L and S are the midpoints of CE, AK, CA and KE.
Which of the following statements are true for the given figure?

1. $\text{ar}△ACO=\text{ar}△KEO$
2. $\text{ar}△PAK=\text{ar}△CEO$
3. $\text{ar}△ACO=\text{ar}△CEO$
4. $\text{ar}△CXP=\text{ar}△YOK$

Q. In the given figure, AD || BE || CF. Prove that : area ($\Delta AEC$) = area ($\Delta DBF$). State 1 if true or 0 false

Q.
$\text{In the given figure ar}\left(△BUG\right)\text{is equal to}\text{ar}\left(△CUP\right),\text{then which of the following}\text{statements are true?}$

1. $\text{BU is not equal CU}$
2. $\text{BU is equal to CU}$
3. $\text{BC is parallel to PG.}$
4. $\text{BC is not parallel to PG.}$