Question

Find the area of the polygon. 2 m 19 m 2 m 17 m The area of the polygon is (Type a whole number.)

Answer 1

If the polygon is redrawn and completed as shown below

The area of the polygon = area of the rectangle ABCD - ( area of the rectangle AEFG + area of the rectangle HBJI)

Area of rectangle = L x B

For ABCD

L = 17 + 2= 19 m

B = 19 + 2 + 2 = 23 m

Area = 19 x 23 = 437 square metre

For AEFG

L= 2 m , B = 2 m

Area = 2 x 2 = 4 square m

For HBJI

L= 2 m , B = 2m

Area = 2 x 2 = 4 square m

`\begin{gathered} Area\text{ of the polygon = 437 - ( 4+ 4)} \\ =\text{ 437 - 8} \\ =429m^2 \end{gathered}`