The width of rectangle is 8 units.
To understand more, check below explanation.
Rectangle :
Let us consider that, width of rectangle be w units.
Since, the length of a rectangle is 1 units more than the width.
So that, length of rectangle, [tex]l=w+1[/tex]
The area of the rectangle is 72 units.
[tex]l*w=72\\\\(w+1)*w=72\\\\w^{2} +w-72=0\\\\w^{2} +9w-8w-72=0\\\\w(w+9)-8(w+9)=0\\\\(w-8)(w+9)=0\\\\w=8,w=-9[/tex]
Since, width can not be negative.
Hence, the width of rectangle is 8 units.
Learn more about the area of rectangle here:
https://brainly.com/question/25292087
