Question

Find the area of the composite figure.A) 122 cm^2B) 72 cm^2C) 56 cm^2D) 96 cm^2

Answer 1

Given:

The composite figure have side measures as 12 cm, 6 cm , 10 cm and 5 cm.

Required:

Find the area of the composite figure.

Step-by-step explanation:

We will divide this figure in two rectangles as

Now area of composite figure is

`\text{ Area = Area of first figure }+\text{ Area of second figure}`

Now, dimensions of first rectangle is 12 cm and 6cm

`\begin{gathered} A=length* breadth \\ A=12*6 \\ A=72cm^2 \end{gathered}`

Dimensions of second rectangle is 10 cm and 5 cm

`\begin{gathered} A=10*5 \\ A=50cm^2 \end{gathered}`

Total area of figure

`\begin{gathered} \text{ Area= area of first figure }+\text{area of second figure} \\ Area=72+50 \\ Area=122cm^2 \end{gathered}`

Answer:

Hence, answer is 122 cm square.