Final answer:
The length of the rectangular painting is 1/4 yard, calculated by dividing the area by the width using the formula for area of a rectangle.
Step-by-step explanation:
The area of a rectangular painting is given as 1/6 square yard. The formula for the area of a rectangle is A = L × W (Area equals Length times Width). Given that the width (W) is 2/3 yard, we can find the length (L) by rearranging the formula to L = A / W.
Now, substituting the values we have:
- A = 1/6 square yard
- W = 2/3 yard
So:
L = (1/6) / (2/3) = (1/6) × (3/2) = (1 × 3) / (6 × 2) = 3/12 = 1/4
Therefore, the length of the painting is 1/4 yard.