The measures could including mounds to block the traffic noise, special "soundproofing" fencing or resurfacing the road with a quieter tarmac.
Cllr Chilvers said: "Residents simply want to be able to enjoy their homes and gardens without the constant hum of traffic. Although some noise is expected in roads with close proximity to an A road, this has now just got beyond the acceptability level."
Brentwood Borough Council has committed itself to carrying out another noise survey in September.
To sign the petition, visit www.karenchilvers.mycouncillor. org.uk