Question

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

Answer 1

Answer:

Let height be x m

Then, Base = 3x m

Now, Total cost = 49572

Area of triangle× 36.72/100= 49572

=1/2(3x )x × 36.72/100=49572

= 3x² = (49572 ×100× 2)/36.72

= 3x² = 270000

= x²= 90000

= x =300cm

Thus, Height = 300cm

Base = 3×300cm

= 900cm

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