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?


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.

Answer 1

The total cost of resurface the path is
`\$600`

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

`A=(14+3+3)(30+3+3)-(14)(30)`

`A=(20)(36)-(14)(30)`

`A=300\ ft^(2)`

step 2

Find the cost of resurface the path

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

`300*2=\$600`