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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?


I know that there is supposed to be some kind of second rectangle needed to find the answer(???), but I have no idea how to find it?? I asked my professor but he was really evasive and didn't give a solid answer.

Respuesta :

calculista

Answer:

The total cost of resurface the path is [tex]\$600[/tex]

Step-by-step explanation:

step 1

Find the area of the path

The area of the path is equal to the area of the path plus the swimming pool minus the area of the swimming pool

[tex]A=(14+3+3)(30+3+3)-(14)(30)[/tex]

[tex]A=(20)(36)-(14)(30)[/tex]

[tex]A=300\ ft^{2}[/tex]

step 2

Find the cost of resurface the path

Multiply the area of the path by $2 per square foot

[tex]300*2=\$600[/tex]

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