Width: 2.62 meters
Length: 7.62 meters
Let x = the width of the rectangle
Let x + 5 = the length of the rectangle
Area of a rectangle: length * width
Area = x(x + 5)
20 = x^2 + 5x
x^2 + 5x - 20 = 0
Factor: (completing the square)
x^2 + x*2*5/2 + (5/2)^2 - (5/2)^2 - 20 = 0
(x + 5/2)^2 - 26.25 = 0
(x + 5/2)^2 = 26.25
x + 5/2 = 5.1234...
x = 2.6234...
The width is approximately 2.62 meters
The length is approximately (2.62 + 5) --> 7.62 meters