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19 June, 15:56

You are designing a rectangular pet pen for your new baby puppy. You have 30 feet of fencing you would like the fencing to be 6 1/3 feet longer than the width

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  1. 19 June, 18:04
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    w = 4 1/3

    l = 10 2/3

    Step-by-step explanation:

    Let w = width

    L = length = w + 6 1/3

    Changing the mixed number to an improper fraction

    6 1/3 = (3*6+1) / 3 = 19/3

    l = w + 19/3

    Fencing means perimeter

    P = 2 (l+w)

    30 = 2 (l+w)

    Replace l with w+19/3

    30 = 2 (w + 19/3 + w)

    Combine like terms

    30 = 2 (2w+19/3)

    Divide by 2 on each side

    30/2 = 2/2 (2w+19/3)

    15 = 2w+19/3

    Subtract 19/3 from each side

    15 - 19/3 = 2w+19/3-19/3

    45/3 - 19/3 = 2w

    26/3 = 2w

    Multiply by 1/2

    26/3 * 1/2 = 2w*1/2

    26/6 = w

    Change this back to a mixed number

    6 goes into 26 4 times (6*4=24) with 2 left over

    4 2/6

    4 1/3

    w = 4 1/3

    l = w + 6 1/3

    l = 4 1/3 + 6 1/3

    l = 10 2/3
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