SOLUTION: The Robertsons put a rectangular pool with a stone walkway around it in their back yard. The total length of the pool and walkway is 3 times the total width. The walkway is 2ft. wi

Algebra ->  Rectangles -> SOLUTION: The Robertsons put a rectangular pool with a stone walkway around it in their back yard. The total length of the pool and walkway is 3 times the total width. The walkway is 2ft. wi      Log On


   



Question 447398: The Robertsons put a rectangular pool with a stone walkway around it in their back yard. The total length of the pool and walkway is 3 times the total width. The walkway is 2ft. wide all around.

a.) Write an expression for the area of the pool.
b.) Find the area of the pool when the total width is 10ft.
c.) Find the area of the pool when the total width is 9ft.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Total width = x
total length =3x
width of walkway = 2
width of pool = (x-4)
lenngth of pool =(3x-4)
Area of pool = (x-4)(3x-4)
width = 10
plug value of x in the expression
(10-4)(30-4)=6*26
=156 sq.ft
width =9 ft.
Area = (9-4)(27-4)= 5*23
Area = 115 sq.ft
m.ananth@hotmail.ca