the rectangular garden of 6 metres by 4 metres is surrounded by a path of uniform width. if the area path is 56m squad, what is its width

Answer 1

L = 6 + 2 p
W = 4 + 2 p

56 = (6+2p)(4+2p)-6*4

56 = 24 + 20p + 4p^2 -24

4 p^2 + 20 p - 56 = 0

p^2 + 5 p - 14 = 0

(p+7)(p-2) = 0

p = 2

Answer 2

the path is 2m