Daniel is creating a rectangular garden in his back yard. The length of the garden is 14 feet. The perimeter of the garden must be at least

Question

Daniel is creating a rectangular garden in his back yard. The length of the garden is 14 feet. The perimeter of the garden must be at least 58 feet and no more than 66 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.

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Khang Minh 5 months 2021-08-26T19:24:02+00:00 1 Answers 0 views 0

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    2021-08-26T19:25:09+00:00

    Answer:

    15 ≤ w ≤ 19

    Step-by-step explanation:

    Given that :

    Length of garden = 14 feets

    Perimeter must be atleast 58 but no more than 66

    The range of value for the width ;

    Perimeter = 2 length + 2 width

    Perimeter = 2(14) + 2w

    If perimeter = 58

    58 = 28 + 2w

    58 – 28 = 2w

    30 /2 = w

    w = 15

    If perimeter = 66

    66 = 28 + 2w

    66 – 28 = 2w

    38 = 2w

    w = 38 / 2

    w = 19

    Range of the width should be atleast 15 and not more Than 19

    Hence,

    15 ≤ w ≤ 19

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