Answer:
\(4\frac{1}{2}\) meters.
Step-by-step explanation:
We know that,
The area of a rectangle is,
\(A=l\times w\)
Where,
l = length,
w = width,
Here,
A = \(12\frac{3}{8}\text{ square meter}\)
w = \(2\frac{3}{4}\text{ meter}\)
By substituting the values,
\(12\frac{3}{8}=2\frac{3}{4}\times l\)
\(\frac{99}{8}=\frac{11}{4}l\)
\(396=88l\)
\(\implies l = \frac{396}{88}=4\frac{1}{2}\)
Hence, the length of the patio would be \(4\frac{1}{2}\) meters.
