Given: A piecewise rectangular figure is given.
Required: To determine the area of the given figure.
Explanation: The area of the given figure can be determined by splitting the figure into two squares as shown below:
Now the figure is divided into a square with an edge of 3 cm and a rectangle of 8 cm by 5 cm.
And the area of the square is
[tex](edge)^2[/tex]
And the area of a rectangle is the product of length by breadth.
Hence, the area of the figure is-
[tex]\begin{gathered} A=(8\times5)^+(3)^2 \\ =40+9 \\ =49\text{ cm}^2 \end{gathered}[/tex]
Final Answer: The area of the figure is 49 square centimeters.
