Answer:
\(2\frac{26}{45}\text{ meters}\)
Step-by-step explanation:
Since the area of a rectangle is,
\(A=l\times b\)
Where,
l = length,
b = width,
Here, A = \(5\frac{4}{5}\text{ square meters}\)
b = \(2\frac{1}{4}\text{ meters}\)
By substituting the values,
\(5\frac{4}{5}=l\times 2\frac{1}{4}\)
\(\frac{29}{5}=l\times \frac{9}{4}\)
\(\implies \frac{29\times 4}{9\times 5}=\frac{116}{45} = 2\frac{26}{45}\text{ meters}\)
Hence, the length would be \(2\frac{26}{45}\text{ meters}\)