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 $\mathrm{AD}$. Point $\mathrm{L}$ on side $\mathrm{CD}$ is such that $\mathrm{CL}=\mathrm{AK}$. Point $\mathrm{M}$ is the intersection of line $\mathrm{BL}$ and the perpendicular bisector of segment $\mathrm{DL}$. It is known that $\mathrm{KL}=4$. Find the length of segment $\mathrm{BM}$.
Answer: 8

## Examples of answer recording: 14  0.5

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