Question

The base of a triangular field is three times its altitude. If the cost of sowing the field at Rs. $58$ per hectare is Rs. $783$, find its base and height.

Answer 1

Given that $b=3h$

$Area=\frac{1}{2}\times bh$

$Area=\frac{1}{2}\times \left(3h\right)h$

$Area=\frac{1}{2}\times 3h^2$

Given that

$\Rightarrow 58\times \frac{1}{2}\times 3h^2=783$

$\Rightarrow 3h^2=27$

$\Rightarrow h^2=9$

$\Rightarrow h=300m$

$\Rightarrow b=900m$