Question

The base of a triangular field is three times its height. If the cost of cultivating the field at Rs 36.72 per 100m2 is Rs 49,572 ; find its base and height.

Answer 1

$\frac{1}{2} \times b \times h = ( \frac{49572}{36.72} ) \times 100$
$\frac{1}{2} \times 3x \times 1x = 1350 \times 100 \\ \\ {x}^{2} = 270000 \div 3 \\ \\ x = 300$
height=300
base= 900

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