Perimeter rhymes with:
polarimeter, altimeter, estimator, polarimeter, accelerometer, altimeter, anemometer, densitometer, diameter, dynamometer, estimator, fluorometer, goniometer, hydrometer, hygrometer, interferometer, kilometer, magnetometer, micrometer, odometer, parameter, polarimeter, spectrometer, speedometer, streitmatter, strittmatter, thermometer
Perimeter sounds like:
parameter, parmenter, parmentier, parmeter, permenter, premature, premonitory, printer, promoter