The length of a rectangle is 6 meter less than twice its width. the area of the rectangle is 140m square. what are the dimensions of the rectangle

Hello:

x : the lenghe y : the width

x-6 = 2y ... (1)

xy=140 ... (2)

by (1) : x = 6+2y

subsct in (2) : (6+2y) y = 140

2y² + 6y - 140 = 0

y² + 3y - 70 = 0

delta : b²-4ac a=1 b=3 c = - 70

3²-4 (1) (-70) = 289=17²

y1 = (-3-17) / 2 negatif ... refused

y2 = (-3+17) / 2 = 7

x = 6+2 (7) = 20