SOLUTION: The rectangular swimming pool measures 40 feet by 60 feet and is surrounded by a path of uniform width around the four edges..The perimeter of the rectangle formed by the pool and

Question 415788: The rectangular swimming pool measures 40 feet by 60 feet and is surrounded by a path of uniform width around the four edges..The perimeter of the rectangle formed by the pool and the surrounding path is 248 feet. Determine the width of the path.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The rectangular swimming pool measures 40 feet by 60 feet and is surrounded by a
path of uniform width around the four edges..
The perimeter of the rectangle formed by the pool and the surrounding path is 248 feet.
Determine the width of the path.
:
Let x = the width of the path
:
The surrounding path will add 2x to the pool dimensions, therefore
over all dimensions: (2x+40) by (2x+60)
:
the overall perimeter
2(2x+40) + 2(2x+60) = 248
Simplify divide by 2, results
(2x + 40) + (2x + 60) = 124
combine like terms
2x + 2x + 40 + 60 = 124
4x + 100 = 124
4x = 124 - 100
4x = 24
x =
x = 6 ft is the width of the path
:
:
Check this by finding the perimeter with these values; 2x = 12 ft
2(12+40) + 2(12+60)
2(52 + 2(72)
104 + 144 = 248; confirms our solution of x=6 ft
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