Question

The base of a triangular field is $2.4$ times its height. If the cost of levelling the field at the rate of $Rs.20$ per square metre is $Rs.9,600$, find its base (in $m.$)

Answer 1

If the cost is Rs $20$ per $m^2$
then, Rs $9600$ is the cost for $\frac{9600}{20}=480m^2$
Given base $=2.4\times$ height
Area of triangle $=\frac{1}{2}\times base\times height=480$ sq m
$\frac{1}{2}\times 2.4h\times h=480$
$=>h^2=400$ m
height $=20m$

Base $=2.4\times 20=48m$