Question

The base of a triangle field is three times its altitude. if the cost of sawing the field at ruppes 960 per hectare is ruppes 12960 , find its base and height .

Answer 1

Heya !!




Total cost of sowing the field = Rs 12960.




Rate per hectare = Rs 960.



Area = Total Cost / Rate = ( 12960/960)




Area = ( 13.5 ) hectares.




Let the altitude of the field be X meters.





Then, Its base = 3X meters.



Area = 1/2 × Base × Height = 1/2 × 3X × X = 3X²/2 m²




=> 3X²/2 = 135000






=> X²= ( 135000 × 2/3 )




=> X² = 90000




=> X = √90000 = 300


Base = ( 3X ) = 3 × 300 = 900 m.


And,



Altitude = X = 300 m.

Answer 2

1HEYA!!
---------

----------------------------------------------------------------------------------------------------

Total cost of sowing the fields rupees 960 per hectare = Rs. 12960

Area of field = Total cost / cost per hectare

Area = 12960 / 960

Area = 13.5 hectares

----------------------------------------------------------------------------------------------------

Let the Altitude of the triangle be X m

Then base of triangle = 3X m.

Area of a Triangle = 1/2 × Base × Height .

Area calculated = 13.5 hectares.= 135000m


135000 = 1/2 × X × 3X

135000 × 2 / 3. = X^2

X^2 = 90000

X = 300 m


Hence Altitude of the triangle is 300 m

Base of the triangle is 300 × 3 = 900 n

---------------------------------------------------☺☺----------------------------------------------