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18 April, 10:31

Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest area.

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  1. 18 April, 10:34
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    Given:

    62 feet of fencing = perimeter

    P = 2 (L + W)

    62/2 = 31

    16 + 15 = 16 * 15 = 240 ft²

    17 + 14 = 17 * 14 = 238 ft²

    18 + 13 = 18 * 13 = 234 ft²

    19 + 12 = 19 * 12 = 228 ft²

    20 + 11 = 20 * 11 = 220 ft²

    The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.
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