SOLUTION: A picture of length 12 inches and width 9 inches is framed in wood. What is the uniform width of the frame if the frame has an area of 162 square inches?

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Question 766953: A picture of length 12 inches and width 9 inches is framed in wood. What is the uniform width of the frame if the frame has an area of 162 square inches?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The frame starts with its inner border of 12 inch by 9 inch, and extends 1 w on each side for some number w. The entire outer dimension for the frame is 12%2B2w and 9%2B2w.


The area covered with the whole frame outer dimensions is %2812%2B2w%29%289%2B2w%29. The part of this area which is NOT the frame, is the area of the picture, 12%2A9 inch%5E2.

{Total area} - {picture area} = {frame area}

READ; THINK; UNDERSTAND.
SOLVE. The rest of this is left for you.

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