Question

Base of a triangular field is three times it's height . If cost of cultivating the field at Rs 1080 per hectare is Rs 14580, find the base and height

Answer 1

Answer:height = 300 m

base = 900 m

Step-by-step explanation:Total cost of cultivating= Area×Cost/hectare

Area = Total cost of cultivating÷Cost/hectare

Area = 14580÷1080

Area = 13.5 hectare= 1,35,000

Let height be x, base be 3x.

: : Area of triangle = ½×b×h

= 135000 m² = ½×x×3x

= 135000 m² =½ 3x²

= x²= 135000×⅔m

= x² = 90,000 m

= x = √90,000 m

= x = 300 m

Now height = x = 300m, base = 3x= 3×300m=900m.