Question

The area of triangular field is 96 m${}^2$ . If the ratio of base and its height is 3 :1, then the base (in m) of the triangular field is

Answer 1

Area$=96$

Ratio$=3:1$

so$,$ let the base be $3x$

and height be $x.$

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

$96=\frac{1}{2}\times 3x\times x$

$96\times 2=3x\times x$

$192=3x^2$

$\frac{192}{3}=x^2$

$64=x^2$

$x=8$

Base$=3x$

$=3\left(8\right)$

$=24m$