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How much Square cm is the area of the polygon?

How much Square cm is the area of the polygon?-example-1
User Maximede
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Notice that we can divide the polygon in two regular polygons:

then, we can find the area separately:


\begin{gathered} Area\text{ of the square:} \\ A_1=12\cdot12=144\operatorname{cm}^2 \\ \text{Area of the triangle:} \\ A_2=(12\cdot19)/(2)=(228)/(2)=114\operatorname{cm}^2 \end{gathered}

adding both areas, we get:


A=A_1+A_2=144\operatorname{cm}+114\operatorname{cm}=258\operatorname{cm}^2

therefore, the area of the polygon is 258 square centimeters

How much Square cm is the area of the polygon?-example-1
User Christian Meyer
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