SOLUTION: a matte uniform width is to be placed around a painting so that the area of the matted surface is twice the area of the picture. If the outside of the matte are 40cm and 60cm, find

Question 994258: a matte uniform width is to be placed around a painting so that the area of the matted surface is twice the area of the picture. If the outside of the matte are 40cm and 60cm, find the width of the matte.
i have the answer to the question i just dont know how to show my work doing it.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Let the width of the matte be cm.
the outside dimensions of the matte are by cm
the length of the picture will be ... ( cm on each side, so )
the width of the picture will be
.
the area of the
the area of the
.
the area of the
.
=>

or
satisfies the equation, so the width of matte is

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