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Find the total area of the figure.A. 57 square yardsB. 66 square yardsC. 180 square yards D. 234 square yards

Find the total area of the figure.A. 57 square yardsB. 66 square yardsC. 180 square-example-1
User Mariellen
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1 Answer

4 votes

The given structutre can be divided to 3 parts.

Let the first part be the rectangle ABHI.

The area of the section-1 is,


\begin{gathered} Arae(ABHI)=9\text{ yd}*11\text{ yd} \\ =99 \end{gathered}

The second part is also a rectangle. The area of the rectangle BCFG is,


\begin{gathered} \text{Area(BCFG)}=(9+4)*9 \\ =13*9 \\ =117 \end{gathered}

The third section is a triangle. The area of the triangle CED is,


\begin{gathered} \text{Area(CED)}=(1)/(2)*9*4 \\ =18 \end{gathered}

The total area of the given structure is,


\begin{gathered} A=\text{Area (ABHI)+ Area(B}CFG\text{)}+\text{ Area(}CDE\text{)} \\ =99+117+18 \\ =234\text{ square yards} \end{gathered}

Thus, the total area of the given structure is 234 square yards, and the correct option is option D.

Find the total area of the figure.A. 57 square yardsB. 66 square yardsC. 180 square-example-1
User Renan Souza
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7.8k points