The width of the pathway is 3m
Explanation:
Let the width of the pathway be 'w'
The area will be 130 square meters
The dimensions of the garden is 10 x 7
Area = (10+w) (7+w)
130 = 70 + 17w + w^2
w^2 + 17w - 60 = 0
w^2 +20w - 3w - 60 = 0
w ( w + 20) - 3 ( w + 20) = 0
(w + 20) (w - 3) = 0
w = -20 ( or) w = 3
w is the width and cannot be negative.
So, w = 3 meters
The width of the pathway is 3m