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