Advantages and disadvantages in term of radar performance of LFM chirp
Assuming this is not homework, you can summarize LFM performance as

Advantanges


LFM is easy to implement in hardware - even more so if you can use stretch (de-chirp) processing. It has been the most popular type of pulse compression.
Good range resolution which is a function of bandwidth.
Autocorrelation (matched filter output) has good side-lobe levels.
The LFM spectrum is "nice" given its sharp band edges. This make it more robust to signal processing chains with lots of filtering.
LFM is Doppler tolerant. This means that the matched-filter output (think SNR) is robust to Doppler shifts from the return signal.


Disadvantages


LFM exhibits range-Doppler coupling. A Doppler shift will shift the peak of the matched filter output to a different delay (range).