anonymous
  • anonymous
Tom wants to hang a mirror in his room. The mirror and frame must have an area of 14 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Square with an inner frame with height of 3ft on the left frame and width of 4ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. 4x2 + 14x - 2 = 0 3x2 + 10x - 14 = 0 2x2 + 12x - 14 = 0 x2 + 7x - 14 = 0
Mathematics
jamiebookeater
  • jamiebookeater
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Valpey
  • Valpey
The frame is the same width all the way around the mirror, namely x feet wide. We can think of this as four \(x^2\) sqaure foot corners and four pieces of linear framing which is x feet wide.
Valpey
  • Valpey
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anonymous
  • anonymous
so by process of elimination i know it is a but how would i find this out using the funtions

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anonymous
  • anonymous
i mean quadratic
Valpey
  • Valpey
You could start with:\ Total Area = 14 Total Width = 2x+3 Total Height = 2x+4 Then expand (2x+3)*(2x+4) = 14 Then simplify.
anonymous
  • anonymous
ok thanx

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