Width = 7cm
Length = 13cm
Explanation:
Area of rectangle = [tex]91cm^{2}[/tex]
Let width of the rectangle = b ,
So, length = b+6
Area of rectangle = (length X width) - eqn 1
Putting the value of length and width in above equation 1,
[tex]91cm^{2} = b (b+6)\\91 = b^{2}+6b\\b^{2} + 6b-91 = 0\\[/tex]
On solving the quadratic equation we get,
b = 7cm
So, width (b) = 7cm
and length = 7+6
l = 13cm
Hence,
Width = 7cm
Length = 13cm
