Perimeter and Area of Rhombus

Q.

The perimeter of a rhombus is 40 cm. If one diagnonal is 16 cm. find :

(i) its another diagonal (ii) area

Q.

A rhombus-shaped sheet with a perimeter of 40cm and one diagonal of 12cm, is painted on both sides at the rate of ₹ 5 per $c{m}^2$. Find the cost of painting.

1. ₹ 940

2. ₹ 480

3. ₹ 960

4. ₹ 490

Q.

The length of the diagonals of a rhombus is in the ratio 4 : 3. If its area is $384c{m}^2$, find its side.

Q.

The diagonals of a rhombus are 18 cm and 24 cm. Find ;

(i) its area

(ii) length of its sides

(iii) its perimeter

Q.

Each side of a rhombus is 18 cm. If the distance between two parallel sides is 12 cm, find its area.

Q.

The length of the diagonals of a rhombus are in the ratio 3:4. If its area is $216c{m}^2$, then its side is ___ cm.

1. 25

2. 35

3. 30

4. 36

Q.

The area of a rhombus is equal to the area of a triangle. If base of A is 24 cm, its corresponding altitude is 16 cm and one of the diagonals of the rhombus is 19.2 cm. Find its other diagonal.

Q.

The perimeter of a rhombus is 260cm and one of its diagonals is 66cm. Find the area of the rhombus and its other diagonal.

1. Area $=3690c{m}^2$, BD = 112 cm

2. Area $=3696c{m}^2$, BD = 10 cm

3. Area $=3690c{m}^2$, BD = 10 cm

4. Area $=3696c{m}^2$, BD = 112 cm

Q. The area of the rhombus with length of each side as 7 cm and altitude as 8 cm is 56 sq.cm.

1. 56 sq.cm.
2. 65 sq.cm.

Q.

A thin metal iron•sheet is rhombus in shape, with each side 10 m. If one of its diaginals is 16 m, find the cost of painting its both sides at the rate of Rs 6 per $m^2$. Also, find the distance between the opposite sides of this rhombus.

Q.

PQRS is a quadrilateral in which $PQ=5\sqrt{2}cm$, $QR=5\sqrt{2}cm$, $RS=8cm$, $SP=6cm$, $\angle PSR=\angle PQR={90}^{\circ }$. Then its area is

1. $49c{m}^2$

2. $40.4c{m}^2$

3. $46.4c{m}^2$

4. $32.4c{m}^2$

Q.

The area of rhombus is $98c{m}^2$. If one of its diagonals is 14 cm, the length of the other diagonal is ___ cm.

1. 7

2. 12

3. 14

4. 16

Q. The area of a rhombus is $240c{m}^2$ and one of the diagonal is $16cm$. Find another diagonal.

Q. The area of the rhombus with length of each side as 7 cm and altitude as 8 cm is-

1. 56 sq.cm.
2. 65 sq.cm.
3. 44 sq.cm.
4. 59 sq.cm.

Q.

If the diagonals of a rhombus are 24 cm and 10 cm, then its perimeter =____cm.

1. 48

2. 60

3. 52

4. 80

Q. The area of a rhombus whose perimeter is 80 m and one of whose diagonal is 24 m is ...........

1. $364m^2$
2. $384m^2$
3. $483m^2$
4. $463m^2$

Q.

The area of a rhombus whose diagonals measure 10 cm and 24 cm is _____ sq cm.

1. 3300 Square Feet

2. 3960 Square Feet

3. 1200 Square Feet

4. 1600 Square Feet

Q.

The area of the rhombus with length of each side as 7 cm and altitude as 8 cm is___

1. 56 sq.cm.

2. 65 sq.cm.

3. 59 sq.cm.

4. 44 sq.cm.

Q. Question 132
The diagonals of a rhombus are 8 cm and 15 cm. Find its side.

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 $m^2$ is 4.

Q. A rhombus has sides of length 1 cm and the area $\frac{1}{2}{cm}^2$. Find the angle between the two adjacent sides of the rhombus.

1. ${60}^{\circ }$
2. ${75}^{\circ }$
3. ${45}^{\circ }$
4. ${30}^{\circ }$

Q. The area of a rhombus is equal to the area of a triangle having base $24.8cm$ and the corresponding height $16.5cm$. If one of the rhombus is $22cm$. Find the length of the other diagonal.

Q. Each side of a rhombus is 18 cm. If the distance between two parallel sides is 12 cm, find the value of its area in cm${}^2$

Q. In a rhombus PQRS, PR = 24 cm and QS = 18 cm. Find the perimeter of the rhombus.

Q. The lengths of the diagonals of a rhombus are $24cm$ and $10cm$. Find each side of the rhombus.

Q.

The perimeter of a rhombus is 40 cm. If its height is 6 cm, then its area is _____ sq cm.

1. 32

2. 240

3. 60

4. 120

Q.

The perimeter of a rhombus is 46 cm. If its height is 8 cm, then its area is ___ $c{m}^2$

1. 90

2. 92

3. 80

4. 82

Q.

What is the area of the rhombus $ABCD$, if $AC=12cm$ and $BE=8cm$

1. 384 cm²

2. 192 cm²

3. 48 cm²

4. 96 cm²