Answer:
To figure out the area of the figure, we will divide the shape into two parts as in the image below
Step 1:
The formula to calculate the area of Part A is
[tex]\begin{gathered} Area_A=l\times b \\ l=9yd,b=3yd \end{gathered}[/tex]
By susbstituting the values, we will have
[tex]\begin{gathered} Area_A=l\times b \\ Area_A=9yd\times3yd \\ Area_A=27yd^2 \end{gathered}[/tex]
Step 2:
Calculate the area of part B
[tex]\begin{gathered} Area_B=l\times b \\ l=9yd,b=5yd \\ \end{gathered}[/tex]
By substituting the values, we will have
[tex]\begin{gathered} Area_B=l\times b \\ Area_B=9yd\times5yd \\ Area_B=45yd^2 \end{gathered}[/tex]
Hence,
The area of the figure will be
[tex]\begin{gathered} A_{figure}=Area_A+Area_B \\ A_{figure}=27yd^2+45yd^2 \\ A_{figure}=72yd^2 \end{gathered}[/tex]
Hence,
The final answer is
[tex]\Rightarrow72yd^2[/tex]
OPTION C is the right answer
