Answer:
The answer is
![(5)/(4) \\](https://img.qammunity.org/2021/formulas/mathematics/college/ttms44viyyxhr27ezb5483u0pqjsul1nib.png)
Explanation:
Area of a rectangle = length × width
Since we are finding the length
![length = (area)/(width) \\](https://img.qammunity.org/2021/formulas/mathematics/college/94m5rwsd9j7i4mh85s2hh161fiakth2yez.png)
From the question
area = 5/6 sq. feet
width = 2/3 foot
Substitute the values into the above formula and solve for the length
The length is
![length = (5)/(6) / (2)/(3) \\ = (5)/(6) * (3)/(2) \\ = (5)/(2) * (1)/(2) \\ = (5)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/fuprxihjuygal9tfivhveuan26j896is4n.png)
We have the final answer as
![(5)/(4) \\](https://img.qammunity.org/2021/formulas/mathematics/college/ttms44viyyxhr27ezb5483u0pqjsul1nib.png)
Hope this helps you