Question

Find the area of the composite figure. First, find the area of the parallelogram. 12 cm Parallelogram Area = [?] cm2 :6 cm [ Triangle Area = [ ] cm2 L: 4 cm Total Area of Composite Figure = [] cm2 Enter

Answer 1

• Parallelogram Area = 72 cm²

,

• Triangle Area = 24 cm²

,

• Area of composite figure = 96 cm²

Step-by-step explanation

The area of a parallelogram is the product between the length of the base and the height of the parallelogram,

`A_(parallelogram)=b\cdot h`

In this case, b = 12cm and h = 6cm,

`A_(parallelogram)=12cm\cdot6cm=72cm^2`

The area of a triangle of base b and height h is,

`A_(triangle)=(b\cdot h)/(2)`

In this case, b = 12cm and h = 4cm,

The area of the composite figure is the sum of the areas of the two figures,

`A_(figure)=A_(parallelogram)+A_(triangle)=72cm^2+24cm^2=96cm^2`

The total area of the composite figure is 96 cm²