Question

Area of the path around a square field is $425m^2$. Find the width of the path of the path if the side of the square is $40cm$.

Answer 1

REF. Image.

$\to$ Area of path = Area of region

(1),(2),(3),(4)

$\Rightarrow 25=(0.4+2w)w\times 2$

$+\left(0.4\right)w\times 2$

$\Rightarrow 25=0.8w-4w^2+0.8w$

$\Rightarrow 4w^2-1.6w+25=0$

$\Rightarrow 40w^2-16w+250=0$

$\Rightarrow 20w^2-8w+125=0$

$D=8^2-4\left(20\right)\left(125\right)<0$

$\Rightarrow$ No solution