Assignment – 5 ( Heron’s Formula )


Assignment – 5 ( Heron’s Formula )

1. A board in a shape of triangle having equal dimensions ‘a’.  Find the area of board using Heron’s formula. If its perimeter is 180 cm. What will be the area of board ?

2. A board in a shape of triangle having equal dimensions ‘a’.  Find the area of board using Heron’s formula. If its perimeter is 120 cm. What will be the area of board ?

3. The triangle board having the side walls of 122 cm , 22 cm and 120 cm . The rent of advertisement on board is 6000 rs per cm^2 per year . A company hired this walls for their advertisement for 3 months how much this company have to pay .

4. The triangle board having the side walls of 16 cm , 18 cm and 18 cm . The rent of advertisement on board is 6000 rs per cm^2 per year . A company hired this walls for their advertisement for 3 months how much this company have to pay .

5. The sides of a park is 15 cm , 11 cm and 6 cm. Find the area of this park.

6. The sides of a park is 30 cm , 22 cm and 12 cm. Find the area of this park.

7. Find the area of triangle two sides of which 9 cm and 5 cm and the perimeter is 21 cm.

8. Find the area of triangle two sides of which 8 cm and 6 cm and the perimeter is 22 cm.

9. Side of a triangle are in the ratio of 18 : 10 : 14 and its perimeter is 210 cm . Find its area .
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10. Side of a triangle are in the ratio of 9 : 5 : 7 and its perimeter is 210 cm . Find its area .

11. An isosceles triangle has perimeter 25 cm and each of the equal side is 8 cm . Find the area of triangle.

12. An isosceles triangle has perimeter 25 cm and each of the equal side is 9 cm . Find the area of triangle.

13. A field in the shape of quadrilateral ABCD having angle B is 90 where  AB = 3 m  BC = 4 m  CD = 8 m  DA = 9 m

14. A field in the shape of quadrilateral ABCD having angle B is 90 where  AB = 8 m  BC = 6 m  CD = 7 m  DA = 9 m

15. A field in the shape of quadrilateral ABCD where  AB = 3 m  BC = 4 m  AC = 5 cm  CD = 8 m  DA = 9 m

16. A field in the shape of quadrilateral ABCD where AB = 8 m  BC = 6 m  AC = 10 cm  CD = 7 m  DA = 9 m

17. A triangle and a parallelogram have the same base and the same area . If the sides of triangles are 13 cm , 14 cm and 15 cm and the parallelogram stands on the base 14 cm. Find the height of parallelogram.

18. A triangle and a parallelogram have the same base and the same area . If the sides of triangles are 6 cm , 8 cm and 10 cm and the parallelogram stands on the base 6 cm. Find the height of parallelogram.



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