SOLUTION: how much molding in length will be needed to frame an 11 X 14 inch picture if there is to be a 2 inch mat around the picture

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Question 1055987: how much molding in length will be needed to frame an 11 X 14 inch picture if there is to be a 2 inch mat around the picture
Found 4 solutions by addingup, josgarithmetic, josmiceli, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
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(2*13)+(2*16) = molding needed

Answer by josgarithmetic(39618) About Me  (Show Source):
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Draw a picture of this. Let the p be the perimeter. That is the length of the molding needed. The two-inch mat around the "picture" does not matter in this exercise. Or, maybe it does matter. You would maybe need to cut off a right triangle on both sides of each of the four pieces. Yes. That's it.

Look at the outside perimeter.

2%2811%2B2%2A2%29%2B2%2814%2B2%2A2%29=outerPerimeter
p for outer perimeter,
p=2%2A15%2B2%2A18
p=2%2815%2B18%29
p=66--------------this is how much molding.

Answer by josmiceli(19441) About Me  (Show Source):
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I'm not sure I understand. I think what you want is
the new perimeter of the picture with the 2 inch
mat included
------------------------------
+11+%2B+2%2A2+=+15+
+14+%2B+2%2A2+=+18+
The new dimensions are 15 x 18
Perimeter = +2%2A15+%2B+2%2A18+
+30+%2B+36+=+66+
So, I have 33 in for the length of molding
around the pioture plus mat
---------------
Get a 2nd opinion, too

Answer by ikleyn(52788) About Me  (Show Source):
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.
how much molding in length will be needed to frame an 11 X 14 inch picture if there is to be a 2 inch mat around the picture
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

       F               14 + 2            E
       +---------------------------------o----+ D
       |                          <----- |    |
     G o---+-----------------------------+    |
       |   |            14 in            |    |
       |   |                             |    |
 11+2  |   |                             |    | 11+2
       |   |  11 in              11 in   |    |
       |   |                             |    |
       |   |            14 in            |    |
       |   +-----------------------------+----o C
       |   | --->                             |
     H +---o----------------------------------+                                  
           A           14 + 2                  B

1-st molding strip/mat of 2 inches wide AB: 14 + 2 = 16 inches along the first 14-inch side;


2-nd molding strip/mat of 2 inches wide CD: 11 + 2 = 13 inches along the next 11-inches side;


3-rd molding strip/mat of 2 inches wide EF: 14 + 2 = 16 inches along the second 14-inch side;


4-th molding strip/mat of 2 inches wide GH: 11 + 2 = 13 inches along the second 11-inches side.


16 + 13 + 16 + 13 = 58 inches.


Answer.  58 inches molding in length.