Question

Find the area of the composite figure below. Round your answer to the tenths.

Answer 1

54 square units

Explanation:

First, divide the composite figure into common plane shapes as shown below:

Thus, we have two plane shapes:

• A triangle with a base of 10 units and a height of 6 units.

,

• A rectangle with a length of 6 units and a height of 4 units.

Therefore:

`\begin{gathered} \text{ Area of the composite figure}=\text{ Area of the triangle+Area of the rectangle} \\ =(1)/(2)bh+lh \\ =((1)/(2)*10*6)+(6*4) \\ =30+24 \\ =54\text{ square units} \end{gathered}`

The area of the composite figure is 54 square units.