$20$pts$)$ Design and instantiate a structure which has $2$ fields: color $($line color$),$ positions $($positions of a line$).$ color is represented by a string and positions is represented by a list which has only $2$ elements. Each element is a posn structure with $2$ fields: x $($x coordinate$)$ and y $($y coordinate$).$ x and y are represented by numbers. $($Do not forget to write down the functions $-$ constructors, selectors, and predicates. Solve Question $2,3$ by using that structure$)1$

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TOTAL$$Distance of two points A$($x$1,$y$1)$ and B$($x$2,$y$2)$ is given by: distance$($A$,$B$)=($x $$x $)2+($y $$y $)21212$

$2.(40$pts$)$ Design and implement a recursive Racket function which consumes a list of structure as$$its parameter and produces a list of distance. It uses the formula that is given in first page.