Question

The cost of cultivating a triangular field at $36.72 per 100 m is $49572 . Find the base and height of a triangular field if its base is three times its height.

Answer 1

Answer:

300,900

Step-by-step explanation:

i think cost would be

$36.72 per 100 m^2 .

1m^2 = 0.3672

area = 49572/0.3672 = 135000 m^2

1/2 *3x * x = 135000

x = 300 , height =x = 300m

base = 3x = 3(300) = 900m

Answer 2

Answer:

Height = 300m

Base = 900m

Step-by-step explanation:

Cost per 100m^2 = $36.72

Cost per 1m^2 = (36.72)/(100) = $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