Question

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

Answer 1

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.