Respuesta :

Answer:

The length of the rectangle is [tex]\dfrac{ 1}{3} \text{ feet}[/tex] .

Step-by-step explanation:

The complete question is: The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?

Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.

As we know that the area of the rectangle is given by;

  Area of rectangle =  Length of rectangle [tex]\times[/tex] Width of rectangle

                                   Or

                       A  =  L [tex]\times[/tex] W

Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.

SO,        [tex]\frac{7}{9} = \text{L} \times 2\frac{1}{3}[/tex]

             [tex]\frac{7}{9} = \text{L} \times \frac{7}{3}[/tex]

              [tex]\text{L} = \frac{7\times 3}{9\times 7}[/tex]

              [tex]\text{L} = \frac{ 1}{3} \text{ feet}[/tex]

Hence, the length of the rectangle is [tex]\frac{ 1}{3} \text{ feet}[/tex] .