Question

uueJUU Telp Find the area of the polygon. The area of the polygon is (Type a whole number.) 4 cm 7 cm 7 cm -14 cm 14 cm יד 4 cm

Answer 1

The area of the polygon = Sum of area of eight triangles + area of a square.

Area of the square

`\begin{gathered} \\ \text{Length = 14cm} \\ \text{Area of the square = Length}^2 \\ \text{ = 14}^2 \\ =196cm^2 \end{gathered}`

Area of one triangle

`\begin{gathered} =\text{ }\frac{Base\text{ x Height}}{2} \\ \text{Base = 4cm} \\ \text{Height = 7cm} \\ =\text{ }\frac{4\text{ x 7}}{2} \\ =\text{ }(28)/(2) \\ =14cm^2 \end{gathered}`
`\begin{gathered} \text{Area of the eight triangles = 8 x 14 } \\ \text{ = 112 cm}^2 \end{gathered}`
`\begin{gathered} \text{Area of the polygon = 196 + 112} \\ \text{ = 308 cm}^2 \end{gathered}`