The diagram is composed of a rectangle and a right triangle.
The area of the rectangle is derived as;
[tex]\begin{gathered} A=l\times w \\ A=6\times4 \\ A=24yd^2 \end{gathered}[/tex]
The area of the triangle is derived as;
[tex]\begin{gathered} A=\frac{1}{2}bh \\ A=\frac{1}{2}(3)(4) \\ A=\frac{1}{2}\times12 \\ A=6yd^2 \end{gathered}[/tex]
The area of the shape is therefore 24 square yards plus 6 square yards, and that equals 30 square yards
The third option is the correct answer
