SOLUTION: The outside of a picture frame measures 14 in by 20 in. 212 in^2 of the picture shows. Find the thickness of the frame.

Algebra ->  Length-and-distance -> SOLUTION: The outside of a picture frame measures 14 in by 20 in. 212 in^2 of the picture shows. Find the thickness of the frame.       Log On


   

Question 1059653: The outside of a picture frame measures 14 in by 20 in. 212 in^2 of the picture shows. Find the thickness of the frame.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Thickness of frame has insufficient information described. You could find the uniform width of the frame.

x, the uniform width of the frame;

highlight%28%2814-2x%29%2820-2x%29%2B212=14%2A20%29

Remember some of your algebra skills.
You will be able to subtract 14%2A20 from both sides.
14%2A20-40x-280x%2B4x%2B212=14%2A20
-320x%2B212=0
not so hard now.....

Answer by ikleyn(52765) About Me  (Show Source):
You can put this solution on YOUR website!
.
The outside of a picture frame measures 14 in by 20 in. 212 in^2 of the picture shows.
Find the highlight%28cross%28thickness%29%29 uniform width of the frame.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The question must be "Find the uniform width of the frame". 

Let x be the uniform width of the frame.

Then the equation is 

(14-2x)*(20-2x) = 212.

Simplify:

280+-+40x+-+28x+%2B+4x%5E2 = 212,

4x%5E2+-+68x+%2B+68 = 0,

x%5E2+-+17x+%2B+17 = 0.

Next apply the quadratic formula.

The writing by "josgarithmetic" is wrong. Simply ignore it.