SOLUTION: A 16 ft by 18 ft rectangular garden is to have a gravel path of uniform width bordering it. How wide is the path if the total area covered by the garden and path is 440 ft2?

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Question 1037981: A 16 ft by 18 ft rectangular garden is to have a gravel path of uniform width bordering it. How wide is the path if the total area covered by the garden and path is 440 ft2?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
This example lesson should help:
Rectangular outside border of uniform width - video

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the width in ft of the path
Including the path, the dimensions
of the garden are:
and
The area, , is:





( by inspection )
( width must be positive )
-------------------------------
The path is 2 ft wide
-------------------------
check:



ft2
OK

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