Parallelograms on the Same Base and between the Same Parallels Are Equal in Area

Q.

In the figure if area of parallelogram ABCD is 30 $c{m}^2$, then area of ΔAEB is equal to ______.

1. 10 $c{m}^2$
2. 25 $c{m}^2$
3. 15 $c{m}^2$
4. 35 $c{m}^2$

Q. A parallelogram and a triangle are on equal base and between the same parallel lines. The ratio of their areas is ______.

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

Q.

Rectangle ABCD and ||gram PQRS lie between same base and same parallels.The ratio of their areas is

1. 1 : 2

2. 1 : 1

3. 1 : 3

4. 2 : 1

Q.

ABCD is a parallelogram in which CD is produced to P. DC = 6 cm and height BQ = 4 cm. Find the area of $△$ APB

1. 6 $c{m}^2$
2. 12 $c{m}^2$
3. 24 $c{m}^2$
4. 48 $c{m}^2$

Q.

In the given figure ABCD is a parallelogram. If area of parallelogram ABCD = 1728 square units, then area $△$ BEC = ____ square units.

1. 864 square units
2. 432 square units
3. 1728 square units
4. 400 square units

Q.

Area of △ is ___the area of the parallelogram, if both are on equal bases and between the same parallels.

1. one - fourth

2. half

3. three - fourth

4. equal to

Q.

In the given figure, PQRS is a rectangle of area $35c{m}^2$. Find the area of $\Delta EFT.$

1. $35c{m}^2$
2. $70c{m}^2$
3. $17.5c{m}^2$
4. $60c{m}^2$

Q. If A, B, C, D are mid-points of sides of parallelogram PQRS, area of PQRS is always ________ the area of shape formed by joining A, B, C, D.

1. twice
2. one-third
3. thrice
4. half

Q.

. If the area of || gram is 120 sq.cm , what is the ar(△) which is between the same base and same parallels?

1. 120 sq cm

2. 60 sq cm

3. 240 sq cm

4. 320 sq cm

Q.

$\Delta ABP$ and parallelogram PABC are between the same parallel lines. If the area of parallelogram PABC is $24c{m}^2$, then the area of $\Delta ABP$ is

1. $48c{m}^2$
2. $6c{m}^2$
3. $32c{m}^2$
4. $12c{m}^2$