The base of a triangular field is three times it's height. If the cost of cultivating the field at rs 1080 per hectare is rs 14580, find it's base and height.
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cost of cultivating one hectare = Rs 1080
cultivated area = 14580/1080 = 13.5hectare
cultivated area = 135000m^2
let h be the height and b be the Base
b = 3h
area of triangular field = 1/2 × b × h
135000 × 2 = b × h
135000 × 2 = 3h × h
135000 × 2/3 = h^2
√(90000) = h = 300m
Base = 3h = 3×300 = 900m
Ans. Base = 900m and height = 300m
cultivated area = 14580/1080 = 13.5hectare
cultivated area = 135000m^2
let h be the height and b be the Base
b = 3h
area of triangular field = 1/2 × b × h
135000 × 2 = b × h
135000 × 2 = 3h × h
135000 × 2/3 = h^2
√(90000) = h = 300m
Base = 3h = 3×300 = 900m
Ans. Base = 900m and height = 300m
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