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A rectangular 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?

Respuesta :

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:

[tex]A = lw[/tex]

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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:

[tex]A_{t} = 20\times36 = 720 \text{ft}^2[/tex]

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

[tex]A_{po} = 14\times30 = 420 \text{ft}^2[/tex]

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  • Then, the area of the path is:

[tex]A_{pa} = A_{po} - A_{t} = 720 - 420 = 300 \text{ft}^2[/tex]

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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.

A similar problem is given at https://brainly.com/question/10878247

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