Question

Find the area of the given figure to the nearest hundredth as needed.

Answer 1

1)

need to calculate 3 areas and then sum

Triangle

`\begin{gathered} A=(b* h)/(2) \\ \\ A=(5*2)/(2)=5 \end{gathered}`

small rectangle

`\begin{gathered} A=b* h \\ A=8*2=16 \end{gathered}`

Big rectangle

`\begin{gathered} A=b* h \\ A=13*5=65 \end{gathered}`

so the total area is

`\begin{gathered} 5+16+65 \\ =86 \end{gathered}`

86 square units

2)

need to calculate3 areas and then sum

Triangle

`\begin{gathered} A=(b* h)/(2) \\ \\ A=(8*5)/(2)=20 \end{gathered}`

Rectangle

`\begin{gathered} A=b* h \\ A=8*7=56 \end{gathered}`

Half circle

`\begin{gathered} A=(\pi* r^2)/(2) \\ \\ A=(3.14*(6)^2)/(2)=56.52 \end{gathered}`

the total area is

`\begin{gathered} 20+56+56.52 \\ =132.52 \end{gathered}`

132.52 square units