The area = area of the big rectangel - sum of the areas of the two circles
the diameter of each of the circles is 10.5cm
Hence, each circle has a radius of 10.5cm / 2 = 5.25cm
The length of the rectangle = the sum of the diameters of the circles
Therefore
The length of the rectangle = 10.5cm + 10.5cm = 21cm
The width of the rectangle = 10.5cm
Hence,
[tex]\begin{gathered} \text{area of shaded portion = 21}\times10.5\text{ - (}\pi\times5.25^2+\pi\times5.25^2) \\ =220.5-(55.125\pi)\approx47.32 \end{gathered}[/tex]
Hence the area of the shaded portion is 47.32 square centimeters
