Answer:
Length of rectangle is [tex]\displaystyle\frac{1}{4}\text{ feet}[/tex]
Step-by-step explanation:
We are given the following information:
Area of rectangle = [tex]\displaystyle\frac{5}{8}\text{ square feet}[/tex]
Width of rectangle = [tex]2\displaystyle\frac{1}{2}\text{ feet}[/tex]
Formula:
Area of rectangle = [tex]\text{Length}\times \text{Width}[/tex]
Putting the values, we get
[tex]\displaystyle\frac{5}{8} = 2\frac{1}{2}\times \text{Length}\\\\\text{Length} = \frac{5}{8}\div 2\frac{1}{2} = \frac{5}{8}\div \frac{5}{2} = \frac{5}{8}\times \frac{2}{5} = \frac{1}{4}\text{ feet}[/tex]
Hence, length of rectangle is [tex]\displaystyle\frac{1}{4}\text{ feet}[/tex]