Question

The base of a triangular field is three times its altitude. If the cost of sowing the field at rupees 58 per hectare is rupees 783, find its base and height.






Answer is given on the book is 900m,300m​

Answer 1

let base be 3a and altitude be a.

cost of sowing is 58/hectare is 783.

And we know that 1 hectare =10000

so,

the area of the field =(783×10000)/58.

7830000/58=135000

We, know that the area of triangle =

1/2× base × height

we also know that the shape of the field is triangular.

so we apply the formula of triangle.

putting the value of base and height.

we find,

1/2×base ×height =

1/2×3a × a=135000

3a²=135000×2

3a²=270000

a²=270000/3

a²=90000

a=√90000

a=300

so ,

the altitude be 300m and base is 3 times. so base =300×3=900m

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