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3 February, 08:20

The lengths of the sides of a quadrilateral are in extended ratio 1:1:2:3. the perimeter is 56 feet what are the lengths of the sides

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  1. 3 February, 11:39
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    Length of sides of quadrilateral are 8 feet, 8 feet, 16 feet, 24 feet

    Solution:

    Given that length of the sides of a quadrilateral are in extended ratio 1:1:2:3

    Perimeter of the quadrilateral = 56 feet

    Need to determine length of the sides

    As length of the sides of a quadrilateral are in extended ration 1: 1: 2: 3

    lets assume that four sides of rectangle = 1x, 1x, 2x and 3x

    Perimeter of quadrilateral = sum of length of four sides

    => Perimeter of quadrilateral = 1x + 1x + 2x + 3x = 7x

    As given that perimeter = 56 feet

    => 56 = 7x

    x = 8

    Then the length of sides are:

    1x = 1 (8) = 8 feet

    1x = 1 (8) = 8 feet

    2x = 2 (8) = 16 feet

    3x = 3 (8) = 24 feet
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