Question

the base of a triangular field is three times its height. If the cost of cultivating the field at Rs. 36.72 per 100m^2 is Rs. 49,572; find its base and height

Answer 1

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Let height = x,

then base = 3x

and area = 1/2

*x*3x=3/2*x^2 m2.

Cost per m2 is = 25/100= 1/4.

Cost for 3/2*x^2 is =

1/4*3/2*x^2 which is equal
to 60000.

Solving x =400.

Height is 400, base is 1200

Answer 2

Answer:

Height = 300m

Base = 900m

Step-by-step explanation:

Cost per 100m^2 = Rs.36.72

Cost per 1m^2 = (36.72)/(100) = Rs.0.3672

Area = Total Cost/Cost per m^2 = (49572)/(0.3672) = (49572*10000)/(3672) = 1,35,000

Height = x ; Base = 3x.

Area = 1/2*base * height

1/2 * 3x * x = 135000

x^2 = (135000 * 2)/3

x^2 = 45000 * 2

x = $\sqrt{90000}$

x = 300

Height = 300m

Base = 900m