Step-by-step explanation:
Let L be the length and W be the width.
The length of a rectangle is 4 meters less than twice the width.
That is
      L = 2W - 4
The area of the rectangle is 240 square​ meters
That is
    L x W = 240
    (2W - 4) x W = 240
     2W² - 4W = 240
     W² - 2W - 120 = 0
     (W -12 ) (W+10) = 0
     W = 12 m or W = -10 m
So width of rectangle is 12 meter
Length = 2 x 12 - 4 = 20 m
Length is 12 meter and width is 20 meter.