Answer:
[tex]\frac{1}{3}[/tex] feet
Step-by-step explanation:
The area of a rectangle is represented by the formula [tex]A = l[/tex] ×[tex]w[/tex], in which [tex]A[/tex] is the area, [tex]l[/tex] is the length, and [tex]w[/tex] is width.
Let's put in what we already know into the formula. We know that the area is [tex]\frac{5}{18}[/tex], so let's substitute that for [tex]A[/tex]. We know that the length is [tex]\frac{5}{6}[/tex], so let's substitute that for [tex]l[/tex]. This gives an equation that looks like this:
[tex]\frac{5}{18} = \frac{5}{6}[/tex] × [tex]w[/tex]
To find the width, all we need to do know is isolate [tex]w[/tex]:
[tex]w = \frac{5}{18}[/tex] × [tex]\frac{6}{5}[/tex]
[tex]w = \frac{30}{90}[/tex]
[tex]w = \frac{1}{3}[/tex]
Thus, the width is [tex]\frac{1}{3}[/tex].
