SOLUTION: A rectangular painting(not including the frame)has a height of 8 inches and a length of 12 inches. The frame surrounding the picture is of uniform thickness(w) a.Create a function

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A rectangular painting(not including the frame)has a height of 8 inches and a length of 12 inches. The frame surrounding the picture is of uniform thickness(w) a.Create a function      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1080858: A rectangular painting(not including the frame)has a height of 8 inches and a length of 12 inches. The frame surrounding the picture is of uniform thickness(w)
a.Create a function in standard form that models the are of the frame only.
b.what is the domain of the function
c.if the are of the frame is 224 square inches what is the thickness(w) of the frame?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Picture Only, 8%2A12 inches^2

Picture and Frame %288%2B2w%29%2812%2B2w%29

Frame Area only %288%2B2w%29%2812%2B2w%29-8%2A12
-
8%2A12%2B24w%2B16w%2B4w%5E2-8%2A12
40w%2B4w%5E2
highlight%28A%5Bf%5D%28w%29=4w%5E2%2B40w%29-----function, area just the frame

Domain, w%3E=0

Last question: Let A(w)=224 and solve for w.