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24 May, 07:48

The length of a rectangle is 3 feet more than the width. If the perimeter is 82 feet, what are the length

and the width?

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Answers (1)
  1. 24 May, 08:33
    0
    L=22feet

    w=19feet

    Step-by-step explanation:

    Perimeter (p) = 82

    Length = (L)

    Width = (w)

    P=2L+2w

    2L+2w=82 ... (1)

    L-w=3 ... (11)

    From (11) L=3+w

    Substitute L=3+w in (1)

    2 (3+w) + 2w=82

    Clearing brackets

    6+2w+2w=82

    6+4w=82

    Collect like terms

    4w=82-6

    4w=76

    w=76/4

    w=19

    Substitute w=19 in (11)

    L-19=3

    Collect like terms

    L=3+19

    L=22
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