The base of a triangular field is three times its height. If the cost of cultivating the field at rupees 2800 per hectare is rupees 37800, find its base and height.
Answers
Answer:
Let the height of triangular field be =h, then base = 3h
Now cost of per hectare is 36 and total cost =486
so, area of field = 486/36=13.5
we know that area of triangle is 1/2*b*h
therfore, 1/2*3h*h=13.5
h^2=13.5*2/3=9
h= under root 9=3
and base =3h=3*3=9 ans
Step-by-step explanation:
Total cost of cultivating the field = Rs 37800
Rate of cultivating the field = Rs 2800 / hectare
Area of field = ( total cost / rate per hectare ) hectares
= ( 37800 / 2800) hectares
= (27 / 2) hectares
= (27 / 2 x 10000) m²
= 135000 m²
let the height of field be x m.
Then its base = 3x m.
Area of field = ( 1 / 2 × 3x × x )m² = (3x² / 2) m²
Therefore, 3x²/2 = 135000 ⇒ x² = ( 135000 × 2 / 3) = 90000 ⇒ x = 300 [under root 90000]
Hence, height of the field = 300 m and its base = (3 × 300) m= 900m.
Mark as branliest please....
² ARE square units
/ means upon or div
⇒ means implies
x means x [ pronounce ex ]
× means multiply