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algebra 117

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need help with this one
the length of a rectangular banner is 4 feet longer than its width if the area is 77 squar feet find the dimensions

  • algebra 117 -

    Let
    w=width
    length=w+4
    Area,
    77=(w+4)w
    Solve for w:
    w²+4w-77=0
    (w+11)(w-7)=0
    So
    w=7 or w=-11 (reject)
    =>
    width = 7'
    check:
    7*(7+4)=77, good.

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