Area of a Parallelogram

Q. If base of a parallelogram is 18 cm and its height is 11 cm, find its area.

Q.

A parallelogram has sides of 15 cm and 12 cm. If the distance between the 15 cm sides is 6 cm, find the distance between 12 cm sides.

Q.

Sirisha said "Every Rectangle is a parallelogram". Do you agree with Sirisha? Give reasons.

Q.

All Parallelograms Are Rectangles. ( True Or False)

1. True
2. False

Q.

A parallelogram has sides of 20 cm and 30 cm. If the distance between Its shorter sides is 15 cm; find the distance between the longer sides.

Q. In a quadrilateral ABCD, AC = 15 cm. The perpendiculars drawn from B and D respectively to AC measure 8.2 cm and 9.1 cm. Find the area of the quadrilateral

Q.

A semicircle CDE is mounted on a parallelogram ABCE as shown, If AB = 24 cm, AE = 13 cm and EF = 12 cm,
find

(a) The perimeter of the figure,

(b) The area of the figure. [4 MARKS]

Q.

The adjacent sides of a parallelogram ABCD are AB = 34cm, BC = 20cm and diagonal AC = 42cm. Find the area of the parallelogram.

1. $670c{m}^2$

2. $672c{m}^2$

3. $595c{m}^2$

4. $550c{m}^2$

Q. Find the area of the quadrilateral PQRS, whose diagonal QS = 19.5 cm and the offsets on it are 5.4 cm and 10.6 cm.

Q.

The base and corresponding height of a parallelogram is 6 m and 8 m respectively. The area of the parallelogram is ___ $m^2$.

Q.

Given the side length as 10m and base length as 9m and height as 5m of a parallelogram. Find the area and its perimeter. [2 MARKS]

Q. The area of triangle ABC in the given figure is half of the area of the rectangle BCDE.

1. True
2. False

Q.

Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan Grunt jumping from an-air plane during night. With the help of his gadgets, he got a blue print of a parallelogram shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!

1. 1200 m²

2. 1600 m²

3. 900 m²

4. 1000 m²

Q.

The area of one of the most common Indian sweets as per the given dimensions is \( ___~cm^2\).

Q.

Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side).

Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side).

Pick the correct option.

1. Statement 1 is true and Statement 2 is false.

2. Both the statements are true and Statement 1 is a particular case of Statement 2.

3. Statement 2 is not always true but Statement 1 is always true.

4. Both the statements are true and Statement 2 is a particular case of Statement 1.

Q.

A flooring tile is in the shape of a parallelogram of base is 24 cm and height is 10 cm. The number of such tiles required to cover a floor of area 1080 $m^2$ is___ .

1. 34000

2. 44000

3. 45000

4. 54000

Q. In a parallelogram $ABCD$, $AB=10cm$ and altitude corresponding to sides $AB$ and $AD$ are respectively, $7cm$ and $8cm$, then find $AD$.

Q. In given figure, distance between corners of rhombus ABCD and rhombus EFGH is 2 cm. If EG and FH are 3 cm and 4 cm respectively, then find the shaded area.

Q. A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?

Q.

__m is the base of a parallelogram so that the area is 136 $m^2$ with a given height is 8m.

Q.

Given: Area of parallelogram = Base $\times$ Height

Statement 1: A diagonal of a parallelogram divides it into two congruent triangles.

Statement 2: Areas of two congruent triangles are exactly equal.

Chose the correct option.

1. Statement 1 is true and Statement 1 is false

2. Both the statements are true but not enough to determine area of a triangle

3. Both the statements are true and enough to determine area of a triangle

4. Statement 1 is false and Statement 2 is true

Q. The area of a parallelogram is $72c{m}^2$ and its altitude is twice the corresponding base. The length of the base is :

1. $6cm$
2. $10cm$
3. $8cm$
4. $Noneofthese$

Q.

If Sandy spent ₹ 400 on fencing and ₹ 500 on ploughing the land he had earlier (ABCD), find the cost of fencing per unit and cost of ploughing per square unit respectively.

1. 

2. 

3. 

4. 

Q. If the selling price of a flower vase is $\frac{5}{6}$ of its cost price, find the loss per cent.

Q. In a parallelogram ABCD, AB=18 cm, BC=12 cm, $AL\perp DC$ and $AM\perp BC$
If AL=6.4 cm, find the length of AM.

1. 9.6cm
2. 9.0cm
3. 8.8cm
4. 8.5cm

Q. The perimeter of a parallelogram is $100$ cm. If one sides exceeds the other by $20$ cm. What is the size of smallest sides of parallelogram.

1. $15$ cm
2. $30$ cm
3. $35$ cm
4. None

Q. In a quadrilateral ABCD, AC = 15 cm. The perpendiculars drawn from B and D respectively to AC measure 8.2 cm and 9.1 cm. Find the area of the quadrilateral

Q. The height of a parallelogram is one third of its base. If the area of the parallelogram is $192c{m}^2$, find its height

Q.

In the given figure OABC is a rhombus, three of whose vertices lie on a circle with center O.

If the area of the rhombus is $50\sqrt{3}c{m}^2$, then the area of the circle

is _____ sq cm. (Take $\pi =3.14$)

1. 31.4

2. 300

3. 314

4. 341

Q. In the figure $ABCD$ is a parallelogram $AB=30cm,AD=20cm,DE=10cm$ and $CN=27cm$. Find
The parameter of $ABCD$