ANSWER
• Parallelogram Area = 72 cm²
,
• Triangle Area = 24 cm²
,
• Area of composite figure = 96 cm²
EXPLANATION
The area of a parallelogram is the product between the length of the base and the height of the parallelogram,
[tex]A_{parallelogram}=b\cdot h[/tex]
In this case, b = 12cm and h = 6cm,
[tex]A_{parallelogram}=12cm\cdot6cm=72cm^2[/tex]
The area of a triangle of base b and height h is,
[tex]A_{triangle}=\frac{b\cdot h}{2}[/tex]
In this case, b = 12cm and h = 4cm,
[tex]A_{triangle}=\frac{12\operatorname{cm}\cdot4\operatorname{cm}}{2}=\frac{48cm^2}{2}=24cm^2[/tex]
The area of the composite figure is the sum of the areas of the two figures,
[tex]A_{figure}=A_{parallelogram}+A_{triangle}=72cm^2+24cm^2=96cm^2[/tex]
The total area of the composite figure is 96 cm²
