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What is the area of this polygon?A. 25 sq. cmB. 61 sq. cmC. 24 sq. cmD. 68 sq. cm

What is the area of this polygon?A. 25 sq. cmB. 61 sq. cmC. 24 sq. cmD. 68 sq. cm-example-1

1 Answer

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The polygon consist of two rectangles and a triangle.

The dimensions of rectangle are,

Length, L = 10 cm

Width, W = 4 cm

Second rectangle,

Length l = 7 cm

Width w = 2 cm.

The dimension of triangle is, base b = 7 cm and height h = 2 cm.

Determine the area of polygon by addition of each area combined in the polygon.


\begin{gathered} A=10\cdot4+7\cdot2+(1)/(2)\cdot2\cdot7 \\ =40+14+7 \\ =61 \end{gathered}

So area of polygon is 61 sq. cm. Option B is correct.

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