Civil engineering is one of the sacred profession and is the oldest of all to provide a safe green environment to live in. The materials used have been changing from time to time since the Stone Age to today’s times where custom built materials are being in use. The present study is focussed on designing a composite laminate having a cutout, and a lining material is provided around the cutout to increase the strength and performance of the laminate under various loading and boundary conditions. The cutout provides access to different parts of the structure, for pipes to pass through, for ventilation, and for desired values of frequency, to improve strength of a reinforced concrete member. This paper is aimed to determine the modulus of elasticity of the material in the lining zone of a laminate around the cutout for a desired value of fundamental frequency. The lining of a laminate will increase the strength of the material, have better load deflection characteristics, and lower natural frequency of vibration when compared with the laminate without lining around the cutout. We use a meta-heuristic algorithms to optimise the modulus of elasticity of the material. The aqua search algorithm is based on underwater searching by divers where visibility is very less. The results of the algorithm are verified using analytical means and found to be in good agreement.