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Algebra 2

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You are creating a metal border of uniform width for a wall mirror that is 20 inches by 24 inches. You have 416 square inches of metal to use. Write and solve an equation to find the border's width.

  • Algebra 2 -

    final dimensions of the framed mirror:
    (20+2w) x (24+2w)

    final area: (20+2w)(24+2w)
    mirror area: 20*24
    border area: (20+2w)(24+2w)-480
    = 480 + 88w + 4w^2 - 480 = 416
    w^2 + 22w - 104 = 0
    (w+26)(w-4) = 0

    w = 4

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