Ayinla Ally YeketiIsola Olatomiwa Oluwadamilare2026-06-032026-06-032026(10) Ayinla, A. Y. & Isola, O. O. (2026). Efficiency of Simpson’s rule; a case study of Unilorin land area. Nigerian Journal of Mathematics and Applications, 36, 8–14https://uilspace.unilorin.edu.ng/handle/123456789/18489Simpson’s rule, a numerical integration technique, provides an efficient method for estimating the area of an irregularly shaped large landmasses when analytical solutions are impractical. This study applies Simpson’s 1/3, 3/8 and hybrid rules to determine the area of the University of Ilorin landmass. The hybrid method, combining the 1/3 and 3/8 rules, proves to be more efficient due to its flexibility with subintervals, improved accuracy and the efficient use of data points. Using the university’s map with a scale of 1.2 : 100, 000, the area was calculated as approximately 15, 200 hectares across all methods. The hybrid rule yielded the smallest absolute error compared to the estimated value of 15, 000 hectares. This work demonstrates that Simpson’s rule, particularly the hybrid approach, provides a practical and accurate method for land area calculations, suitable for complex geographical settings.enSimpson’s RuleNumerical IntegrationLandmass AreaUniversity of IlorinHybrid Rule