level – 1

1. The perimeter of a rhombus is 48 m and its height is 6 m. The area of the rhombus is:
a) 60 m²
b) 72 m²
c) 84 m²
d) 96 m²

2. The area of a rhombus is 192 cm². The length of one of its diagonals is 16 cm. The length of the other diagonal is:
a) 12 cm
b) 18 cm
c) 24 cm
d) 30 cm

3. The perimeter of a rhombus is 80 cm. If one of its diagonals is 12 cm, then the area of the rhombus is:
a) 120 cm²
b) 168 cm²
c) 192 cm²
d) 240 cm²

4. If the measure of one side and one diagonal of a rhombus are 13 cm and 10 cm respectively, then its area (in cm²) is:
a) 48
b) 60
c) 120
d) 156

5. The perimeter of a rhombus is 52 cm and one of its angles is 90°. The area of the rhombus is:
a) 144 cm²
b) 156 cm²
c) 169 cm²
d) 196 cm²

6. The perimeter of a rhombus is 80 cm and one of its diagonals is 32 cm. The area of the rhombus is:
a) 240 cm²
b) 384 cm²
c) 480 cm²
d) 512 cm²

7. The length of each side of a rhombus is equal to the length of the side of a square whose diagonal is 30√2 cm. If the lengths of the diagonals of the rhombus are in the ratio 3 : 4, then the area of the rhombus is:
a) 720 cm²
b) 864 cm²
c) 900 cm²
d) 960 cm²

8. The perimeter of a rhombus is 40 units and the sum of the lengths of its diagonals is 34 units. The area of the rhombus is:
a) 36 sq units
b) 54 sq units
c) 72 sq units
d) 81 sq units

9. The sides of a rhombus are 13 cm each and one of its diagonals measures 10 cm. The area of the rhombus is:
a) 48 cm²
b) 60 cm²
c) 120 cm²
d) 156 cm²

10. The area of a rhombus is 200 cm². If one of its diagonals is twice the other, then the length of the larger diagonal is:
a) 20 cm
b) 24 cm
c) 28 cm
d) 32 cm

11. In a rhombus PQRS, ∠P = 90° and PQ = 15 cm. The length of the diagonal QS is:
a) 15 cm
b) 20 cm
c) 25 cm
d) 30 cm

12. The lengths of the diagonals of a rhombus are 10 cm and 12 cm. The area of the rhombus is:
a) 48 cm²
b) 60 cm²
c) 72 cm²
d) 84 cm²

13. The perimeter of a rhombus is 200 metres and the distance between any two parallel sides is 15 metres. The area of the rhombus is:
a) 600 m²
b) 750 m²
c) 900 m²
d) 1200 m²

level – 2

1. The diagonals of a rhombus are 16 cm and 12 cm. The perimeter of the rhombus (in cm) is:
a) 40
b) 48
c) 56
d) 64

2. The diagonals of a rhombus are 30 cm and 16 cm respectively. The perimeter of the rhombus is:
a) 56 cm
b) 64 cm
c) 68 cm
d) 72 cm

3. The perimeter of a rhombus is 48 cm. If the length of one of its diagonals is 14 cm, then the length of the other diagonal is:
a) 12 cm
b) 16 cm
c) 20 cm
d) 24 cm

4. The perimeter of a rhombus is 52 cm. If one of its diagonals is 10 cm long, then the length of the other diagonal is:
a) 18 cm
b) 20 cm
c) 24 cm
d) 26 cm

5. The perimeter of a rhombus is 80 cm and one of its diagonals is 30 cm. The area of the rhombus is:
a) 240 cm²
b) 300 cm²
c) 360 cm²
d) 450 cm²

6. A diamond shaped tile has diagonals of 18 cm and 24 cm. Find the perimeter of the tile.
a) 48 cm
b) 54 cm
c) 60 cm
d) 66 cm

7. A rhombus shaped field has diagonals of 40 m and 42 m. Find the perimeter of the field.
a) 108 m
b) 112 m
c) 116 m
d) 120 m

8. The perimeter of a rhombus is 60 cm. If one of its diagonals is 18 cm, find the length of the other diagonal.
a) 20 cm
b) 22 cm
c) 24 cm
d) 26 cm

9. The perimeter of a rhombus shaped park is 68 m. If one of its diagonals measures 16 m, find the length of the other diagonal.
a) 26 m
b) 28 m
c) 30 m
d) 32 m

10. The perimeter of a rhombus is 68 cm and one of its diagonals is 30 cm. Find the area of the rhombus.
a) 220 cm²
b) 230 cm²
c) 240 cm²
d) 250 cm²

level – 3

1. The length of one side of a rhombus is 8 cm and its altitude is 9 cm. If the length of one of its diagonals is 24 cm, then the length of the other diagonal is:
a) 4 cm
b) 5 cm
c) 6 cm
d) 7 cm

2. One of the four angles of a rhombus is 90°. If the length of each side of the rhombus is 10 cm, then the length of the longer diagonal is:
a) 10√2 cm
b) 14 cm
c) 20 cm
d) 25 cm

3. The diagonals of a rhombus are 18 cm and 24 cm respectively. The length of one side of the rhombus is:
a) 12 cm
b) 15 cm
c) 18 cm
d) 20 cm

4. A rhombus shaped tile has side 15 cm and altitude 16 cm. If one of its diagonals is 24 cm long, find the length of the other diagonal.
a) 16 cm
b) 18 cm
c) 20 cm
d) 22 cm

5. One angle of a rhombus is 90°. If the length of each side is 7√2 cm, find the length of each diagonal.
a) 12 cm
b) 13 cm
c) 14 cm
d) 15 cm

6. The diagonals of a rhombus shaped field are 32 m and 24 m. Find the length of each side of the field.
a) 18 m
b) 19 m
c) 20 m
d) 21 m

7. A rhombus has side 25 cm and altitude 24 cm. If one diagonal is 40 cm, find the other diagonal and verify using the side length formula.
a) 24 cm
b) 26 cm
c) 28 cm
d) 30 cm

8. Two rhombuses have equal areas. The first rhombus has diagonals 24 cm and 10 cm. The second rhombus has a side of 15 cm. Find the altitude of the second rhombus.
a) 7 cm
b) 8 cm
c) 9 cm
d) 10 cm

9. A rhombus has a side of 25 cm and an altitude of 24 cm. If one diagonal of the rhombus is 30 cm, find the length of the other diagonal.
a) 36 cm
b) 38 cm
c) 40 cm
d) 42 cm

10. The perimeter of a rhombus is 60 cm and one of its diagonals is 18 cm. Find the area of the rhombus.
a) 196 cm²
b) 206 cm²
c) 216 cm²
d) 226 cm²

ANSWERS