Question 1204609
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A quick informal solution, if formal algebra is not required....<br>
The difference between the length and width of the garden is 12-5 = 7m; since the path of uniform width is on one side and one end, the difference between the length and width of garden plus path is still 7m.<br>
Since the area of garden and path is 98 m^2, quick mental arithmetic says the dimensions of garden plus path are 14x7; that makes the width of the path 2m.<br>