SOLUTION: You have a rectangular piece of wood that is 12 in by 6 in. A small length, x,is cut from each of the 4 corners yielding a surface area of 20 in². Find the value of x?

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Question 1189612: You have a rectangular piece of wood that is 12 in by 6 in. A small length, x,is cut from each of the 4 corners yielding a surface area of 20 in². Find the value of x?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.
You have a rectangular piece of wood that is 12 in by 6 in. A small length, x,is cut from each of the 4 corners
yielding a surface area of 20 in². Find the value of x?
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Soup of words.


" The length "  can not be cut from 2D figure.   Some shape can be cut,  but not the length.




Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
ONLY if this piece of wood is very flat, and you are only interested in something like two dimensions:

Original rectangle's area, 12%2A6=72 square inches

An area of 4%2Ax%5E2 removed from all the four corners.

Remaining area, 20 square inches.
highlight_green%2872-4x%5E2=20%29
72-20=4x%5E2
52=4x%5E2
13=x%5E2
highlight%28x=sqrt%2813%29%29