Relation between Area of Triangle and Parallelogram with Common Base and between Same Parallel Lines

Q.

A parallelogram has sides of 20 cm and 24 cm. If the distance between the 24 cm sides is 15 cm, then the distance between the 20 cm sides is ____ cm

1. 6

2. 9

3. 18

4. 20

Q. Question 8

Area of parallelogram ABCD (See the figure) is not equal to


(a) $DE\times DC$
(b) $BE\times AD$
(c) $BF\times DC$
(d) $BE\times BC$

Q.

Area of a triangle with the same base and height as a parallelogram is ___ the area of the parallelogram.

1. twice

2. half

3. thrice

4. equal to

Q.

Find the area of the non-shaded portion. Given: ABED is a parallelogram.

1. 

2. 

3. 

4. 

Q.

In the figure below, if DE = 2DC and the area of parallelogram ABCD = 20 square units, find the area of $\Delta DBC$ (in square units).

1. 10

2. 4

3. 5

4. 6

Q.

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

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

Q.

Find the area of the following design excluding the square region.

Q.

A figure has lines of symmetry as 4 and rotational symmetry of 2. Find its area given that

its side length is 5m and base length is 6m and height is 4m .Find the area of the figure?

Q. $ABCD$ is a parallelogram with side $AB=10cm$. Its diagonals $AC$ and $BD$ are of length $12cm$ and $16cm$ respectively. Find the area of a parallelogram $ABCD$

Q. If a parallelogram of area $100{\text{cm}}^2$ is divided along its diagonal, then the area of a triangle formed equals ${\text{cm}}^2$.

1. 25
2. 50
3. 150
4. 100

Q.

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram ABCD.

1. $192c{m}^2$

2. $96c{m}^2$

3. $126c{m}^2$

4. $112c{m}^2$

Q. A rectangle and a parallelogram on the same base and having the same height have equal area.

1. True
2. False

Q.

Two adjacent sides of a parallelogram are 51cm and 37cm. One of its diagonals is 20cm, then its area is _____.

1. $412c{m}^2$

2. $512c{m}^2$

3. $612c{m}^2$

4. $712c{m}^2$

Q. A triangle and a parallelogram are formed on the same base and between same parallel lines.

$\frac{\text{Area of the parallelogram}}{\text{Area of the triangle}}$ =

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $\frac{4}{1}$
4. $\frac{2}{1}$

Q. Two triangles between two parallel lines and having the same base have equal area.

1. True
2. False