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

hope its correct  , altitude = 3 hectare, base = 9 hectare

solution

1 hectare = rs 58

x hectares = rs 783

x = 783 / 58

x = 13.5 hectares (this is the area of the triangle )_________1)

now,

area of triangle = 1/2 x b x h

{ b = 3y , h = y}

=1/2 x 3y x y

= 3y² /2..__________(2)

by equating 1 and 2

13,5 = 3y²/2

13.5 x 2  = 3y2

27 = 3y2

27/3 = y2

9 = y2

under root 9  = y

3 = y = attitude

3y = 3 x 3 = 9 = base