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
