ClareL688157 ClareL688157
  • 03-11-2022
  • Mathematics
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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 polygonA 25 sq cmB 61 sq cmC 24 sq cmD 68 sq cm class=

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DavudB244503 DavudB244503
  • 03-11-2022

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.

[tex]\begin{gathered} A=10\cdot4+7\cdot2+\frac{1}{2}\cdot2\cdot7 \\ =40+14+7 \\ =61 \end{gathered}[/tex]

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

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