Question

Can you please help me out with a question

Answer 1

Let us divide the composite figure into two shapes: parallelogram and trapezoid. The sum of the area of both shapes will give the total area of the composite shape.

Area of the parallelogram:

The area of a parallelogram, A₁, is given by

`A_1=b* h`

The area is thus calculated as

`\begin{gathered} A_1=3*4 \\ =12cm^2 \end{gathered}`

The area of the parallelogram is equal to 12 cm²

Area of the trapezoid:

The area of a trapezoid, A₂, is given by

`A_2=((a+b)/(2))* h`

The area is thus calculated as

`\begin{gathered} A_2=((3+5)/(2))*3 \\ =(8)/(2)*3 \\ =4*3 \\ =12cm^2 \end{gathered}`

The area of the trapezoid is equal to 12 cm²

Total Area of Composite Figure

The total area, A, is given as

The area of the shape is 24 cm².

The correct option is OPTION C.