SOLUTION: The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 feet w

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 feet w      Log On


   



Question 572250: The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 feet 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 10 feet.
c-find the area of the pool when the total width is 9 feet.
please answer a, b, and c!

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = width
Let A = area
A = (w - 2)(3w - 2)...This answers part a.
By the way, the answer for part a can also be given as 3x^2 - 8x + 4 after multiplying the factors (w - 2)(3w - 2).
Part b:
A = (10 - 2)(3(10) - 2)
A = (8)(28)
A = 224ft^2

Part c:

A = (9 - 2)(3(9) - 2)

A = (7)(25)

A = 175ft^2