Arectangular swimming pool measures 14 feet by 30 feet. the pool is surrounded on all four sides by a path that is 3 feet wide. if the cost to resurface the path is $2 per square foot, what is the total cost of resurfacing the path?

Using the formula for the area of the rectangle, and proportions, it is found that the total cost of resurfacing the path is $600.

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The area of a rectangle of length l and width w is given by:

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The area of the path will be the total area(pool + path), subtracted by the area of the pool.

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The total area has a rectangular format with dimensions 14 + 2*3 = 20 feet and 30 + 2*3 = 36 feet. Thus, it's area will be of:

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The pool has dimensions of 14 feet and 30 feet, so it's area is of:

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Then, the area of the path is:

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The cost is of $2 per square foot.There are 300 square feet.

Thus, the total cost is of: $2*300 = $600.

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