Question

The base of a triangular field is three times its height.If the cost of cultivating the field at rupees 36 per hectare is rupees 486,find its base and height​

Answer 1

Answer:

h=3 hectare

b=9 hectare

Step-by-step explanation:

given : b=3h

cost of cultivating 1 hectare = 36 rupees

cost of cultivating x hectare is =36x

according to the question, cost of cultivating the field is = 486rs  

therefore, 486= 36x

x=27/2 = 13.5 hectare

area of triangle = 1/2 base x height

area of triangle = 27/2

=> 27/2 = 1/2 3h *h

h= 3 hectare

=> b =3x3 = 9hectare

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Answer 2

Answer:

h=x

b=3x

according to question

1/2×3x×x=135000

x²=90000

x=√9000

=300

base=3×300

=900m

height =300m