SOLUTION: Lets say you are building a wooden frame for a rhombus shaped mirror. The mirror has diagonals with lengths of 10 inches and 24 inches. How much wood is needed to build the frame?

Question 1110789: Lets say you are building a wooden frame for a rhombus shaped mirror. The mirror has diagonals with lengths of 10 inches and 24 inches. How much wood is needed to build the frame? The wood costs $1.14 per foot. How much will you spend on wood to build the frame? When you build the frame, the four sides will connect at four corners. What angle measures will be created at these four corners?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Here is a sketch of what the mirror and its diagonals would look like
(with lengths in inches).
As per Pythagorean theorem, .
The first part of the answer to the math problem is that
the length of wood frame material you need is
.

If you can buy exactly

,
it would cost .
However, if you cannot buy that exact length
because the framing material is sold by the foot,
in whole-number lengths only,
you would need to buy of framing,
and that would cost .

--> .
.
Those are the angles you would use for cutting the ends of the framing pieces.
The angles at the corners of the glass part of the mirror,
and at the corners of the finished framed mirror are
, and
.
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