If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is the smallest? (Assume all lengths a

Question

If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
the smallest? (Assume all lengths are whole numbers.)

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Bình An 6 months 2021-09-03T22:45:10+00:00 1 Answers 7 views 0

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    2021-09-03T22:46:26+00:00

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    Answer:

    • largest: 1024 m²
    • smallest: 0 m²

    Step-by-step explanation:

    The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.

    The largest enclosed area is (32 m)² = 1024 m².

    __

    The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.

    The smallest enclosed area is (64 m)(0 m) = 0 m².

    _____

    “Whole numbers” include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².

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