1)
need to calculate 3 areas and then sum
Triangle
[tex]\begin{gathered} A=\frac{b\times h}{2} \\ \\ A=\frac{5\times2}{2}=5 \end{gathered}[/tex]
small rectangle
[tex]\begin{gathered} A=b\times h \\ A=8\times2=16 \end{gathered}[/tex]
Big rectangle
[tex]\begin{gathered} A=b\times h \\ A=13\times5=65 \end{gathered}[/tex]
so the total area is
[tex]\begin{gathered} 5+16+65 \\ =86 \end{gathered}[/tex]
86 square units
2)
need to calculate3 areas and then sum
Triangle
[tex]\begin{gathered} A=\frac{b\times h}{2} \\ \\ A=\frac{8\times5}{2}=20 \end{gathered}[/tex]
Rectangle
[tex]\begin{gathered} A=b\times h \\ A=8\times7=56 \end{gathered}[/tex]
Half circle
[tex]\begin{gathered} A=\frac{\pi\times r^2}{2} \\ \\ A=\frac{3.14\times(6)^2}{2}=56.52 \end{gathered}[/tex]
the total area is
[tex]\begin{gathered} 20+56+56.52 \\ =132.52 \end{gathered}[/tex]
132.52 square units
