Step 1 :\(\text{Area of rectangle} = 4 \times 7 = 28\)
Step 2 :\(\text{Radius of quarter-circle} = \frac{4}{2} = 2\)
Step 3 :\(\text{Area of quarter-circle} = \frac{1}{4} \times \pi \times 2^2 = \pi\)
Step 4 :\(\text{Area of non-shaded region} = \text{Area of rectangle} - \text{Area of quarter-circle} = 28 - \pi\)
Step 5 :\(\boxed{28 - \pi}\)