1 Answer

Renan Souza · Answer 1 · 2023-09-15T18:23:52+0000

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.

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