Question

The base of the triangular field is three times its altitude. If the cost of cultivating the field at Rs.24.4/hect is Rs.448.35, find its height? (in meters)

• A. 100
• B. 350
• C. 700
• D. 250

Answer 1

Answer:

B. 350

Total Cost of Cultivation = Area of triangle $\times$ Rate

Let height/altitude = x

Base of triangle = 3 altitude=3x

Area of $\triangle=\frac{1}{2}[bh]$

$=\frac{1}{2}\times{3x}\times{x}$

total cost $= 448.35=\frac{1}{2}\times{3x^2}\times{24.4}$

=>12.2\times{3x^2}=448.35

$x^2=12.25$

$x=\sqrt{12.25}=\sqrt{\frac{1225}{100}}$

$x=\frac{35}{10}=3.5$

$Height = 350 m$