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Answer :

The figure consist of two shapes, rectangle with length l = 12 cm and width w = 3 cm.

Rectangle with width W = 5 cm and lenth L = 6 cm.

Determine the area of rectangle with length l = 12 cm and width w = 3 cm.

[tex]\begin{gathered} A_1=3\text{ cm }\cdot12\text{ cm} \\ =36cm^2 \end{gathered}[/tex]

Determine the area of rectangle with width W = 5 cm and lenth L = 6 cm.

[tex]\begin{gathered} A_2=5\text{ cm }\cdot\text{ 6 cm} \\ =30cm^2 \end{gathered}[/tex]

Determine the area of total figure.

[tex]\begin{gathered} A=A_1+A_2 \\ =30cm^2+36\operatorname{cm} \\ =66cm^2 \end{gathered}[/tex]

So area of shape is 66 centimeter square.

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