Q1. The lengths of a triangle are 6 cm, 8 cm and 10 cm. Then the length of perpendicular from the opposite vertex to the side whose length is 8 cm is:

1. 5 cm
2. 4 cm
3. 2 cm
4. 6 cm

Q2. The perimeter of a right triangle is 144 cm and its hypotenuse measures 65 cm. The other sides and its area are

1. 26 cm, 63 cm, 504 cm²
2. 16 cm, 63 m , 604 cm²
3. 16 cm, ,63 cm, 504 cm²
4. 16 cm , 68 cm, 504 cm²

Q3. The area of a triangle with two equal sides of length 12 cm making a right angle is

1. 72 cm²
2. 42 cm²
3. 23 cm²
4. 32 cm²

Q4. The area of a right triangle with base 5 m and altitude 12 m is

1. 9 m²
2. 30 m²
3. 15 m²
4. 50 m²

Q5. A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per m². The cost of painting is:

1. Rs. 320
2. Rs. 340
3. Rs. 350
4. Rs. 160

Q6. The area of an equilateral triangle of side 14 cm is

1. 18 cm²
2. 49√3 cm²
3. 56√3 cm
4. 58√3 cm²

Q7. The area of a triangle, two sides of which are 5 cm and 6 cm and perimeter is 16 cm is

1. 36 cm²
2. 18 cm²
3. 42 cm²
4. 12 cm²

Q8. The sides of a triangle are in the ratio of 13 : 14 : 15 and its perimeter is 84 cm. The area of the triangle will be equal to

1. 836 cm²
2. 386 cm²
3. 336 cm²
4. 886 cm²

Q9. The area of a right triangle of height 15 m and base 20 m is

1. 160 m²
2. 216 m²
3. 150 m²
4. 210 m²

Q10. Sides of a triangle are in the ratio of 4 : 6 : 7 and its perimeter is 340 cm. its area is

1. 300 cm²
2. 300√255 cm²
3. 100√255 cm²
4. 4800 cm²

Q11. The perimeter of a rhombus is 146 cm. One of its diagonals is 55 cm. The length of the other diagonal and area of the rhombus are

1. 48 cm, 2320 cm²
2. 48 cm, 1320 cm²
3. 88 cm, 1320 cm²
4. 48 cm, 1820 cm²

Q12. Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on land and produce different crops to suffice the needs of their family. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonals is 160 m, the area of each part is

1. 4800 m²
2. 8800 m²
3. 48000 m²
4. 480 m²

Q13. The base of an isosceles triangle is 10 cm and one of its equal sides is 13 cm. The area of the triangle is

1. 50 cm².
2. 60 cm²
3. 80 cm²
4. 100 cm²

Q14. The lengths of a triangle are 6 cm, 8 cm and 10 cm. Then the length of perpendicular from the opposite vertex to the side whose length is 8 cm is:

1. 5 cm
2. 4 cm
3. 6 cm
4. 2 cm

Q15. The area of a triangle with sides 32 cm, 34 cm and 34 cm is

1. 316 cm²
2. 382 cm²
3. 548 cm²
4. 480 cm²

Q16. The triangular side walls of a fly-over have been used for advertisements. The sides of the walls are 122m, 22m and 120m. The advertisements yield an earning of Rs. 5000 per m² per year. A company hired one of its walls for 3 months. The rent paid by the company is

1. Rs. 165000
2. Rs. 1550000
3. Rs. 16500000
4. Rs. 1650000

Q17. The area of a triangle, two sides of which are 15 cm and 18 cm and perimeter is 48 cm is

1. 112 cm²
2. 108 cm²
3. 98 cm²
4. 86 cm²

Q18. The adjacent sides of a parallelogram PQRS measure 34 cm and 20 cm and the diagonal QS measures 42 cm. Then, the area of parallelogram is:

1. 924 cm²
2. 672 cm²
3. 545 cm²
4. 850 cm²

Q19. The perimeter of a triangle with two sides of length 15 cm and 12.5 cm is 40 cm. Find the area of the triangle.

1. 12 cm²
2. 75 cm²
3. 45 cm²
4. 35 cm²

Q20. The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.

1. 240 cm²
2. 315 cm²
3. 451 cm²
4. 512 cm²

Q21. The area of quadrilateral PQRS, in which PQ = 7 cm, QR = 6 cm, RS = 12 cm, PS = 15 cm and PR = 9 cm:

1. 68.25 cm²
2. 25.25 cm²
3. 75 cm²
4. 74.98 cm²

Q22. The area of a triangle with sides 37.5 cm, 37.5 cm and 45 cm and semi-perimeter 60 cm is

1. 625 cm²
2. 675 cm²
3. 525 cm²
4. 575 cm²

Q23. If the radius of its circumcircle is 5 cm and the altitude drawn to the hypotenuse is 4 cm, the area of a right-angled triangle is equal to

1. 20 cm²
2. 50 cm²
3. 40 cm²
4. 10 cm²

Q24. The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Its area is

1. 8598. 08m²
2. 6598. 08m²
3. 2598. 08m²
4. 5598. 08m²

Q25. A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:

1. 16 sq units
2. 4 sq units
3. 2 sq units
4. 0 sq units

Q26. The base of a right angled triangle with area 300 cm² and height 30 cm is

1. 15 cm
2. 30 cm
3. 20 cm
4. 10 cm

Q27. A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per cm². The cost of painting is:

1. Rs.500
2. Rs.320
3. Rs.640
4. Rs.550

Q28. The area of an isosceles triangle is 60 cm² and the length  of each one of its equal sides is 13 cm, the length of  its base is

1. 14 cm, or 10 cm
2. 24 cm, or 10 cm
3. 24 cm, or 20 cm
4. 44 cm, or 10 cm

Q29. The sides of a triangle are in the ratio 25 : 17 : 12 and its perimeter is 540 m. The area of the triangle is

1. 9000 m²
2. 10000 m²
3. 12000 m²
4. 5000 m²

Q30. The perimeter of an isosceles right angled triangle having an area of 200 cm² is

1. 88.2 cm
2. 68.5 cm
3. 69.2 cm
4. 68.2 cm.