SOLUTION: A picture is 4cm by 6cm. it is pasted onto a matter of equal width on all sides. What is the width of the matte if the area of the matte is 3 times as great as the area of the pict

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Question 1029036: A picture is 4cm by 6cm. it is pasted onto a matter of equal width on all sides. What is the width of the matte if the area of the matte is 3 times as great as the area of the picture?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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A picture is 4cm by 6cm. it is pasted onto a matte of equal width on all sides. What is the width of the matte
if the area of the matte is 3 times as great as the area of the picture?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Your guiding equation is

(2x+4)*(2x+6) = 3*4*6,   or

(2x+4)*(2x+6) = 72,

 = ,

 = ,

 = .

Use the quadratic formula and get

x = .


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