Question

The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the rate of ₹20 per square meter is ₹9600, then the height of the field is ___ m.

• A. 40
• B. 20
• C. 30
• D. 60

Answer 1

The correct option is B

20

Let the height of the field be 'h'

base 2.4 h

Area of a triangle = $\frac{1}{2}\times base\times height$

Cost of levelling the field = Area of the triangular field x rate charged per sq m

9600 =$\frac{1}{2}\times 2.4h\times h\times 20$

$h^2$ =$\frac{9600\times 2}{20\times 2.4}$

$h^2=400$

$h=20m$