Answer:
B. 8
Explanation:
The diagram representing this problem is attached below:
In a rectangle, the diagonals are equal and bisect each other. Thus:
[tex]\begin{gathered} KE=\frac{1}{2}LN \\ 3x-3=\frac{1}{2}(3x+5) \end{gathered}[/tex]
We solve for x:
[tex]\begin{gathered} 2(3x-3)=3x+5 \\ 6x-6=3x+5 \\ 6x-3x=5+6 \\ 3x=11 \\ x=\frac{11}{3} \end{gathered}[/tex]
Therefore, the length of LE will be:
[tex]\begin{gathered} LE=KE \\ LE=3x-3 \\ =3(\frac{11}{3})-3 \\ =11-3 \\ =8\text{ units} \end{gathered}[/tex]
The length of LE is 8.
