Please help w/ Algebra

A rectangular field has a perimeter of 56 rods. If a strip 2 rods wide is cut from all sides of the field, the remaining part of the field has an area of 91 rods. Find the dimensions of the field.

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asked by Dave
  1. If the field has width w, then the length is 28-w.

    (w-4)(28-w-4) = 91
    w^2-28w+187 = 0
    w = 11

    The field is 11x17

    The smaller area is 7x13 = 91

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    posted by Steve
  2. Could you explain why the length is 28-w?

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    posted by Dave
  3. because the perimeter is 56,

    2w + 2l = 56
    l + w = 28
    l = 28-w

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    posted by Steve

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