A rectangular swimming pool measures 14 feet by 30 feet. The...

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?

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Key Concepts

Cost Calculation Based on Area

This involves multiplying the total area that needs to be covered or resurfaced by the cost per unit area. It is a practical application of area measurement in budgeting and resource allocation scenarios.

Symmetrical Border Addition

When a uniform border is added around a shape, the new dimensions of the overall shape can be determined by adding twice the width of the border to each dimension of the original shape. This method simplifies the calculation of the outer area.

Area of a Rectangle

This concept involves calculating the area of a rectangle by multiplying its length by its width. It is a foundational idea in geometry used to determine the size of any rectangular region.

Composite Areas

The idea of composite areas is used when dealing with shapes that have been extended or altered by additional parts, such as borders or paths. It involves finding the area of a larger shape and then subtracting the area of a smaller shape contained within it to determine the area of the surrounding region.

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