Question

the base of a triangular field is 3 times its height if the cost of cultivating the field at rupees 1080 per hectare is rupees 14580 find its base and height

Answer 1

let the height be x
base=3x

1 hectare=10000m^2

total hectares cultivated=14580/1080
=13.5 hectare
=135000m^2

area of a triangle=1/2*b*h
135000=1/2*x*3x
135000*2/3=x^2
90000=x^2
root 90000=x
300=x

the height is 300 m
the base is 3x=900m

Answer 2

Answer:

Step-by-step explanation:

Let height be= x

Base=3x

Area=1/2×b×h

1/2×x×3x

Area=3x*2/2

(1hectare=10000m*2)

3x*2m*2/2

1/10000×3x*2m*2/2

3/20000x*2hectare

Cost of cultivating 1 hectare = ₹36

Cost of cultivating 3x*2/20000hectare=₹486

486=3x*2/20000×36

486×20000÷3×36=x*2

90,000=x*2

9×10,000=x*2

3*2×100*2=x*2

300m=x

Height=3x

3×300=900m