Question

Find the area of the composite figure. The length of the square is 14.4 m. Round to the nearest hundredth when necessary.

Answer 1

410.68 square meters

Step-by-step explanation:

The composite shape is made up of a square, triangle, and trapezium.

Square

`\begin{gathered} \text{Area}=14.4^2 \\ =207.36m^2 \end{gathered}`

Triangle

`\begin{gathered} \text{Area}=(1)/(2)bh \\ =(1)/(2)*14.4*9.6 \\ =69.12m^2 \end{gathered}`

Trapezium

`\begin{gathered} \text{Area}=(1)/(2)(a+b)h\text{ where }h=25.4-14.4 \\ =(1)/(2)(14.4+10)11 \\ =(1)/(2)*24.4*11 \\ =134.2m^2 \end{gathered}`

Thus, the area of the composite figure is:

`\begin{gathered} \text{Area}=207.36+69.12+134.2 \\ =410.68m^2 \end{gathered}`