HEEEEELP

Suppose $f(x),g(x),h(x)$ are all linear functions, and $j(x)$ and $k(x)$ are defined by

$j(x) = \max\{f(x),g(x),h(x)\},$

$k(x) = \min\{f(x),g(x),h(x)\}.$

This means that, for each $x$, we define $j(x)$ to be equal to either $f(x), g(x)$  or $h(x)$ whichever is greatest; similarly, $k(x)$ is the least of these three values.

Shown below is the graph of $y=j(x)$ for $-3.5\le x\le 3.5$.

Let $\ell$ be the length of the graph of $y=k(x)$ for $-3.5\le x\le 3.5$. What is the value of $\ell^2$?

It is not 49.

Please help!
 

Graph: