Answer:
410.68 square meters
Explanation:
The composite shape is made up of a square, triangle, and trapezium.
Square
[tex]\begin{gathered} \text{Area}=14.4^2 \\ =207.36m^2 \end{gathered}[/tex]
Triangle
[tex]\begin{gathered} \text{Area}=\frac{1}{2}bh \\ =\frac{1}{2}\times14.4\times9.6 \\ =69.12m^2 \end{gathered}[/tex]
Trapezium
[tex]\begin{gathered} \text{Area}=\frac{1}{2}(a+b)h\text{ where }h=25.4-14.4 \\ =\frac{1}{2}(14.4+10)11 \\ =\frac{1}{2}\times24.4\times11 \\ =134.2m^2 \end{gathered}[/tex]
Thus, the area of the composite figure is:
[tex]\begin{gathered} \text{Area}=207.36+69.12+134.2 \\ =410.68m^2 \end{gathered}[/tex]
