A rectangular swimming pool measures 14 feet by 30 feet. The pool issurrounded on all four sides by a path that is 3 feet wide. If the cost toresurface the path is $2 per square foot, what is the total cost ofresurfacing 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:The total cost of resurface the path is [tex]\$600[/tex]Step-by-step explanation:step 1Find the area of the pathThe 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 2Find the cost of resurface the pathMultiply the area of the path by $2 per square foot[tex]300*2=\$600[/tex]