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Gr10 math

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A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower bed?

  • Gr10 math -

    Let w=width of flower-bed.

    total area, A
    = (8+x)(4+x)
    =x²+12x+32

    Equate A above to 165 m² to get
    x²+12x+32 = 165
    and solve for x.
    Reject the negative root (-19).

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