Formula for Area of Parallelogram

Q. The area of a rhombus is 120cm2 and one of its diagonals is 24cm. Find the side of the rhombus.

Q.

The adjacent angles of a parallelogram are supplementary

1. True.

2. False.

Q.

The perimeter of a rhombus is 68 centimetres and the length of one of its diagonals is 30 centimetres. Find the length of the other diagonal.

Q.

Find the angle x from the figure if ABCD is a parallelogram in which $\angle A:\angle B=1:4$. Also, $\Delta$DEF is an isosceles triangle with DE = DF.

1. 36°

2. 54°

3. 18°

4. 44°

Q. The diagonals of a rhombus are 16 cm and 12 cm. Find the length of each side of the rhombus.

Q.

Find the area of the following figure (in sq. inches).​​

1. $27$ inches${}^2$

2. $30$ inches${}^2$

3. $28$ inches${}^2$

4. $35$ inches${}^2$

Q.

Find the angle x from the figure if ABCD is a parallelogram in which $\angle A:\angle B=1:4$. Also, $\Delta$DEF is an isosceles triangle with DE = DF.

1. 36°

2. 18°

3. 54°

4. 44°

Q. If the parallelogram with base 6 cm and side 5 cm has the maximum area, then the parallelogram is a .

1. rhombus
2. rectangle
3. square

Q.

To find area, any side of a parallelogram can be chosen as base of the parallelogram.

1. True

2. False

Q.

The area of a parallelogram and a rectangle is the same if the bases of both the quadrilaterals are same and the height of the parallelogram is equal to the length of the rectangle.

1. False

2. True

Q.

The diagonal of a rhombus are 12cm and 16cm .Find the length of one side of Rhombus

Q. 24 A placard is in the shape of a rhombus whose sides are 13 cm each and one of the diagonal is 24 cm find the cost of painting both the sides of the placard at the rate of rs 6.50cm

Q. If the area of a rhombus is 24 $c{m}^2$ and one of its diagonals is 8 cm long, then find the length of the other diagonal.

1. 2 cm
2. 4 cm
3. 6 cm
4. 8 cm

Q.

Find area of the parallelogram of base 20 cm & altitude 5 cm.

1. 25 $c{m}^2$​

2. 100 $c{m}^2$

3. 200 $c{m}^2$

4. 50 $c{m}^2$

Q.

Rihanna walks diagonally across a square field of area 11025 m square .what is the distance she will cross?

Q.
Guess the type of quadrilateral in the given figure.

1. Square
2. Rectangle
3. Parallelogram
4. Rhombus

Q.

Andy’s friend Sandy also got his land restructured. In his case, the land was rectangular before. Keeping the same base and same parallels, LandGrabbers restructured it into a parallelogram-shaped land as shown in the figure. Sandy spent Rs. 400 on fencing and Rs. 500 on ploughing earlier. If AE is twice of AD, find the extra amount he has to spent now on fencing and ploughing respectively in terms of ‘x’ and ‘y’.

1. 

2. 

3. 

4. 

Q.

In the given figure, ABCD is a parallelogram. DL is perpendicular to AB and AB = 12 cm. AD = 10 cm. If the area of parallelogram is $156c{m}^2$ then, AL = __

1. 8 cm

2. 2 cm

3. 5 cm

4. 18 cm

Q. The diognal of a square is 12cm long; find its area and length of one side

Q. Mark (✓) against the correct answer:
The area of a rhombus is 120 cm² and one of its diagonals is 24 cm. Each side of the rhombus is
(a) 10 cm
(b) 13 cm
(c) 12 cm
(d) 15 cm

Q.

The area of a parallelogram is $60{cm}^2$and one of its altitudes is $5cm$. The length of its corresponding side is-

1. $12cm$

2. $6cm$

3. $4cm$

4. $2cm$

Q.

In the adjoining figure, the area of parallelogram AFEB is 140 $c{m}^2$. Find the area of the triangle ADC.

1. 

2. 

3. 

4. Data insufficient

Q.

A mat shaped in a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with area 180 sq. cm with mats, if 1 mat costs Rs. 7?

1. Rs. 105

2. Rs. 135

3. Rs. 115

4. Rs. 95

Q. Area of a rhombus is 17.5 sq. cm. If one of the diagonal is 5 cm, find the other diagonal.

1. 3.5 cm
2. 4 cm
3. 7 cm
4. 7.5 cm

Q.

While reading a newspaper, Ted caught news of a football match between Brazil and Spain. The countries were represented with their respective flags. In Brazil’s flag, the length of any side of the parallelogram is 10.6 cm and the corresponding height is equal to 8.3 cm. If the area of the green region is 74.02 $c{m}^2$ and length of the flag is twice the breadth, find the length of the flag.

1. 9 cm

2. 18 cm

3. 9.5 cm

4. 19 cm

Q.

Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan jumping from an aeroplane during the night. With the help of his gadgets, he got a blueprint 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 $m^2$

2. 1600 $m^2$

3. 900 $m^2$

4. 1000 $m^2$

Q. Mark (✓) against the correct answer:
Each side of a rhombus is 15 cm and the length of one of its diagonals is 24 cm. The area of the rhombus is
(a) 432 cm²
(b) 216 cm²
(c) 180 cm²
(d) 144 cm²

Q. The area of rhombus one side of which measures 20 cm and one diagonal 24 cm is

Q.

The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m² is Rs 4.

Q.

▫️Find the area of the right - angled 🔺^le with hypotenuse 40cm and one of the other two sides 24cm ?