Answer:
14.96 cm
Step-by-step explanation:
The shaded region is the difference between the area of the enclosing rectangle (5.6 cm × 6.4 cm) and the smaller one taken out (3.6 cm × 5.8 cm).
The area of each is the product of its length and width, so we have ...
... shaded area = (5.6 cm)(6.4 cm) -(3.6 cm)(5.8 cm)
... = 35.84 cm² - 20.88 cm² = 14.96 cm²