Answer:
see the explanation
Step-by-step explanation:
we know that
The perimeter of rectangle is given by the formula
[tex]P=2(L+W)[/tex]
where
L is the length
W is the width
In this problem we have
[tex]P=322\ yd[/tex]
substitute
[tex]322=2(L+W)[/tex]
simplify
[tex]L+W=161\ yd[/tex]
so
The side lengths of the rectangle could be any pair of values whose sum must equal 161 yards
see the attached figure to better understand the problem
With the given height approximate the length of the rectangle
[tex]L=144\ ft[/tex]
Convert to yards
[tex]1\ yd=3\ ft[/tex]
so
[tex]144\ ft=144/3=48\ yd[/tex]
Find the width
[tex]48+W=161\\W=161-48\\W=113\ yd[/tex]
therefore
The side lengths of the rectangle could be 48 yd by 113 yd
