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Find the area of the following compound shapes. the dashed lines are perpendicular

Find the area of the following compound shapes. the dashed lines are perpendicular-example-1
User TurtleIzzy
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The area of a compound shape is equal to the sum of the known areas that compound the shape.

In this case, using the dash line as division, we can differentiate a triangle of base b=12 cm and height h=4 cm and a rectangle of sides 4 cm and 12 cm.

Then, the area A of the compound figure is the sum of the area At of the triangle and the area Ar of the rectangle:


\begin{gathered} A=A_t+A_r \\ A=(b\cdot h)/(2)+a\cdot b \\ A=(12\cdot4)/(2)+4\cdot12 \\ A=(48)/(2)+48 \\ A=24+48 \\ A=72\operatorname{cm}^2 \end{gathered}

Answer: the area of the compound shape is 72 cm^2

User VRC
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