Answer:
[tex]53\frac{1}{2}\ in[/tex]
Step-by-step explanation:
we know that
The perimeter of a square is equal to
[tex]P=4a[/tex]
where
a is the length side of the square
in this problem we have
[tex]a=11\frac{3}{8}\ in[/tex]
convert to an improper fraction
[tex]11\frac{3}{8}\ in=\frac{11*8+3}{8}=\frac{91}{8}\ in[/tex]
Find the perimeter of the square
[tex]P=4\frac{91}{8}=45.5\ in[/tex]
Remember to adds two extra inches for each corner
so
The wood needed is
[tex]45.5\ in+2*4\ in= 53.5\ in[/tex]
convert to mixed number
[tex]53.5\ in=53\frac{1}{2}\ in[/tex]
