Answer:
Length = 19 feet
Width = 14 feet
Explanation:
The perimeter, P, of a rectangle is given by
[tex]P=2(l+w)[/tex]
where l is the length and w is the width.
From the question, the length is 9 feet less than twice the width.
[tex]l=2w-9[/tex]
Substitute this in the equation for the perimeter.
[tex]P=2(2w-9+w)[/tex]
[tex]P=2(3w-9)[/tex]
[tex]66=2(3w-9)[/tex]
[tex]33=3(w-3)[/tex]
[tex]11=w-3[/tex]
[tex]w=14[/tex]
Substitute for this in the equation for l.
[tex]l=2w-9=2\times14-9=28-9=19[/tex]
Hence, the length is 19 feet and the width is 14 feet.
