Answer:
The length of the rectangle is equal to 8 units.
Step-by-step explanation:
Let width be b and length be l.
Width, b = l-7
Area of the rectangle, A = 8 sq units
We need to find the length of the rectangle. The area of a rectangle is given by :
A =lb
So,
[tex]8=l(l-7)\\\\8=l^2-7l\\\\l^2-7l-8=0\\\\l^2-8l+l-8=0\\\\l(l-8)+1(l-8)=0\\\\(l-8)=0\ and\ (l+1)=0\\\\l=8\ and\ l=-1[/tex]
So, the value of l is equal to 8 units.
