SOLUTION: The perimeter of a square is 64 meters. If the field is surrounded by a running path of width 3.5 meters, find the area of the path.

Question 944172: The perimeter of a square is 64 meters. If the field is surrounded by a running path of width 3.5 meters, find the area of the path.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
The sides of square with perimeter=64 m=4(S)=16. Each side of the field is 16 m
The running path adds 3.5 m to each end of the side, making entire area of field and running path 23 meters by 23 meters. Area of this square (field and path)is 23x23=529 sq meters. Area of the field only is 16 m x 16 m=256 sq meters.
Area of path and field - area of field = area of path
529 sq meters - 256 sq meters = 273 sq meters ANSWER Area of the path is 273 sq m.
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