Consider that each unit on the grid represents 4ft. The figure consists of 2 identical equilateral triangles and 3 identical rectangles. Calculating the area of one of each kind of shape,
[tex]\begin{gathered} A_{triangle}=\frac{1}{2}b*h=\frac{1}{2}*4*4=\frac{16}{2}=8 \\ A_{rectangle}=4*4(2)=4*8=32 \end{gathered}[/tex]
Therefore, the area of a single triangle is 8in^2, while the area of a rectangle is 48in^2. Calculate the total area as shown below
[tex]A_{total}=2*8+4*32=16+128=144[/tex]
The area of a sheet of plywood is
[tex]A_{plywood}=4*8=32[/tex]
Then, divide the total area by the area of a sheet of plywood,
[tex]\frac{A_{total}}{A_{plywood}}=\frac{144}{32}=4.5[/tex]
Thus, the answer is 4.5, option D.
