Answer:
Width = 34.5 inch OR 26 inch
Step-by-step explanation:
Let the length of the rectangle be 'L' and
Width of the rectangle be 'W'
Length = 2*Width+17
L=2*W+17
Area = 69 square inches
Area of the rectangle=
[tex]Length * Width\\\\ 69 = (2W+17)*W \\\\ 2W^2+17W=69[/tex]
Dividing by '2' both the sides:
[tex]W^2+8.5W=34.5\\\\W(W+8.5)=34.5\\\\W=34.5inch\\OR\\W+8.5=34.5\\W=34.5-8.5\\W=26 inch[/tex]
W=34.5 inch OR W=26 inch