Answer:
The length of the diagonal is [tex]22\ units[/tex]
Step-by-step explanation:
we know that
The diagonals of a rectangle are congruent
so
JL=KM
substitute the values and solve for x
[tex]2x-6=(3/2)x+1\\ \\2x-6=1.5x+1\\ \\2x-1.5x=1+6\\ \\0.5x=7\\ \\ x=14\ units[/tex]
Find the length of the diagonal
[tex]JL=2x-6=2(14)-6=22\ units[/tex]