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23 June, 00:44

Tge area of a rectangle is 16 square feet. what is the greatest perimeter the rectangle can have if the width of the rectangle is greater than i foot? explain the answer

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  1. 23 June, 02:17
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    Area of a rectangle = Length & Width = 16 sq. ft.

    Take factors of 16 = 1, 2, 4, 8, 16

    The combinations will be 1, 16 and 2, 8. (4 can't be taken as it would be a square).

    The width is supposed to be more than 1 foot. In that case the option is only to take the combination of 2 and 8.

    Perimeter = 2 (Length + Width)

    = 2 (8 + 2)

    = 2 (10)

    = 20 feet.

    The greatest perimeter that this rectangle with more than 1 feet width will be 20 feet.
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