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Step-by-step explanation:
let the side of a square field x.
The path on the to longer side has an area 4x+16. The path on the two shorter sides has an area of 4x. The total area of parts around the square field is total area of parts around the square field is thus
4x+16+4x=72 or
8x=72-16=56 or
x=7m
The field is 7m×7m or49 sq m.
Check :Area of field including the path =(7+2)(7+2)=11*11=121sq m. If the area of the field is 49 square metre then the area of path =121-49=72 sq m.
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