SOLUTION: A square field with side 30m is surrounded by a path of uniform width.If the area of the path is 256m2,its width is....

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Question 773662: A square field with side 30m is surrounded by a path of uniform width.If the area of the path is 256m2,its width is....
Answer by 303795(602) About Me  (Show Source):
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The area of the field is 30 x 30 = 900 square metres.
Add the area of the path to the area of the field to get a total area of 1156 square metres.
Find the square root of this area to give the outside dimensions of the field plus path.
square root (1156) = 34. This is 4 metres greater than the field dimensions so the path must therefore be 2 metres wide.