3. Given a rectangle $\mathrm{ABCD}$. The length of side $\mathrm{BC}$ is one and a half times less than the length of side $\mathrm{AB}$. Point $\mathrm{K}$ is the midpoint of side AD. Point $\mathrm{L}$ on side $\mathrm{CD}$ is such that $\mathrm{CL}=\mathrm{AK}$. Point $\mathrm{M}$ is the intersection of line BL and the perpendicular bisector of segment DL. It is known that $\mathrm{KL}=4$. Find the length of segment BM.

(A rectangle is a figure such that its opposite sides are equal, and the angles are each $90^{\circ}$. )
Answer: 8

## Examples of answer recording:

#