Question

The base of a triangular field is 3 times its height.If the cost of cultivating the field at the rate of rs.25 per 100m sq is rs.60000,find its base and height.

Answer 1

Step-by-step explanation:

let the height be 'x'

base = 3x

cost for 25 rs per 100m sq = 60000/-

area of triangle = 1/2bh

= 1/2 x (3x)(x)

60000/25 = area

area = 2400m sq

1/2 x (3x)(x) = 2400

3 x^2 = 4800

x^2 = 1600

x^2 = √1600

x = 40

x = height = 40

base = 3x = 3(40) = 120

Answer 2

Answer: 120 cm

Step-by-step explanation:

let the height be 'x'

base = 3x

cost for 25 rs per 100m sq = 60000/-

area of triangle = 1/2bh

= 1/2 x (3x)(x)

60000/25 = area

area = 2400m sq

1/2 x (3x)(x) = 2400

3 x^2 = 4800

x^2 = 1600

x^2 = √1600

x = 40

x = height = 40

base = 3x = 3(40) = 120