SOLUTION: A rectangular plot measures 12m by 5m.A path of width constant width runs along one side and one end.if the total area of the plot and path is physics 120m find the width of the pa

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Question 587842: A rectangular plot measures 12m by 5m.A path of width constant width runs along one side and one end.if the total area of the plot and path is physics 120m find the width of the path.
Answer by ankor@dixie-net.com(22740) (Show Source):
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A rectangular plot measures 12m by 5m.
A path of width constant width runs along one side and one end.
if the total area of the plot and path is physics 120m find the width of the path.
:
Let x = the width of the path
with a path on one side and one end the overall dimensions will be:
(x+12) by (x+5)
:
Area:
(x+12)*(x+5) = 120
FOIL
x^2 + 5x + 12x + 60 = 120
x^2 + 17x + 60 - 120 = 0
x^2 + 17x - 60 = 0
Factors to
(x+20)(x-3) = 0
Positive solution
x = 3 meters is the width of the path
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