Area covered by the figure is :

OE = 7 cm = radius of semicircle

Here, OE = OA = OD = 7 = radius and 

AD = OA + OD = 7 + 7 = 14 cm = side of square

So area of semicircle =$\frac{1}{2}× \pi ×r^2 = \frac{1}{2}×\frac{22}{7}×7×7=77$ cm²

Area of square ABCD = side² = 14² = 196 cm².

Hence total area = area of semi circle + area of square = 77 + 196 = 273 cm².