This study investigates high-frequency magnetic, dielectric, and microwave absorbing properties of Sendust (Fe-Si-Al alloy) flake particles dispersed in rubber matrix for the design of thin microwave absorbers in quasi-microwave frequency band. At high particle loading (92% in weight) in the magnetic composite, reflection loss of -9 dB was obtained at 2 GHz with a small thickness of 1 mm. The result is attributed to the high values of magnetic permeability and dielectric constant of the composites resulting from a low eddy current loss (increase of permeability) of the flake particles and enhancement of space charge polarization (increase of permittivity) between the metallic particles. However, the investigation of impedance matching reveals that the magnetic permeability is still small to satisfy the zero-reflected condition at the quasi-microwave frequency band of 1-2 GHz with a composite thickness smaller than 1 mm. It is suggested that greater magnetic permeability (by control of composition and shape of magnetic particles) is required for more improved microwave absorbance at a quasi-microwave frequency.