The shaded region is bounded by two straight sides of the square and one quarter-circle arc.<br><br>&bull; From the figure, the side of the square = radius of the quadrant = 49 cm.<br>&bull; Quarter-circle arc length = \( \dfrac{1}{4} \times 2\pi r = \dfrac{\pi r}{2} = \dfrac{22}{7} \times \dfrac{49}{2} = 77 \) cm.<br>&bull; Two straight sides of the square = 49 + 49 = 98 cm.<br>&bull; Total shaded perimeter = 77 + 98 = 175 cm.<br><br>Final Answer: 175 cm