383,224 views
31 votes
31 votes
lusFind the surface area of the composite figure.8 cm6 cm9 cm7 cm6 cm8 cm6 cmSA=[ ? ]cm2If you'd like,you can use acalculatorEnter

lusFind the surface area of the composite figure.8 cm6 cm9 cm7 cm6 cm8 cm6 cmSA=[ ? ]cm-example-1
User Ronita
by
2.6k points

1 Answer

23 votes
23 votes

We will first obtain the perimeter of the trapezium:

Thus, we have:


\begin{gathered} P=7+8+6+9+8 \\ P=38\operatorname{cm} \end{gathered}

Hence, the surface area of the figure is:


\begin{gathered} S\mathrm{}A=(38*6)+2*\mleft\lbrace(1)/(2)(14+8\mright)7\} \\ S\mathrm{}A=228+7(14+8) \\ S\mathrm{}A=228+784 \\ SA=1012\operatorname{cm}^2 \end{gathered}

User Armandas
by
2.9k points