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

Algebra ->  Surface-area -> 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      Log On


   



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) About Me  (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?
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Your guiding equation is

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

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

4x%5E2+%2B+8x+%2B+12x+%2B+24 = 72,

4x%5E2+%2B+20x+-+48 = 0,

x%5E2+%2B+5x+-+12 = 0.

Use the quadratic formula and get

x = %28sqrt%2873%29-5%29%2F2.