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5 February, 06:30

The area of a rectangle is 3 3/4 unit squares, and its length is 5 units. Find the width and the perimeter of this rectangle.

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  1. 5 February, 06:57
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    Width = 3/4 units or 0.75 units

    perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units

    Step-by-step explanation:

    A rectangle has two opposite sides equal in length. The 2 opposite sides are also parallel to each other.

    The area of a rectangle = LW

    where

    L = length

    W = width

    The area of the rectangle = 3 3/4 units² = 15/4 units²

    Length = 5 units

    Therefore,

    15/4 = 5W

    multiply both sides by 4

    15 = 20W

    divide both sides by 20

    W = 15/20

    W = 3/4

    Width = 3/4

    Perimeter of the rectangle = 2L + 2W

    Perimeter of the rectangle = 2 (L + W)

    Perimeter of the rectangle = 2 (5 + 3/4)

    perimeter of the rectangle = 2 (23/4)

    perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units
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