22 July, 05:01
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
22 July, 06:09
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
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