Answer:
[tex]\frac{5}{18}[/tex] square feet.
Step-by-step explanation:
We have been given that the length of a rectangular piece of wood is 5/12 foot and width is 2/3 foot.
Since area of a rectangle is width times length, so to find the area of piece of wood we will multiply 5/12 by 2/3.
[tex]\text{Area of wood}=\frac{5}{12}\times \frac{2}{3}[/tex]
[tex]\text{Area of wood}=\frac{5}{6}\times \frac{1}{3}[/tex]
[tex]\text{Area of wood}=\frac{5}{6\times 3}[/tex]
[tex]\text{Area of wood}=\frac{5}{18}[/tex]
Therefore, area of piece of wood will be [tex]\frac{5}{18}[/tex] square feet.