Question

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?

Answer 1

Answer:

$600

Step-by-step explanation:

The total width of the pool and path is 14 + 3 + 3 = 20 feet.

The total length of the pool and path is 30 + 3 + 3 = 36 feet.

The area of the path is the total area minus the area of the pool.

A = WL − wl

A = (20)(36) − (14)(30)

A = 720 − 420

A = 300

The area of the path is 300 ft².  If the cost to resurface the path is $2/ft², then the total cost is:

C = 300 ft² × $2/ft²

C = $600

Answer 2

Check the picture below.

since the rectangular pool is a 14x30, the top and bottom part of that rectangle in the picture are just a 3x30 piece and the sides are 3x8, so how many ft² is that?

$\bf 2(3\cdot 30)+2(3\cdot 8)\implies 180+48\implies 228~ft^2~\hfill \stackrel{\textit{total cost}}{228\cdot 20\implies \boxed{456}}$