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)   (Show Source): You can put this solution on YOUR website!
(2*13)+(2*16) = molding needed
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
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.


p for outer perimeter,


--------------this is how much molding.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I'm not sure I understand. I think what you want is
the new perimeter of the picture with the 2 inch
mat included
------------------------------


The new dimensions are 15 x 18
Perimeter =

So, I have 33 in for the length of molding
around the pioture plus mat
---------------
Get a 2nd opinion, too
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
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.


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