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19 July, 14:18

The perimeter of a rectangle is twice the sum of its length and its width. The perimete is 28 meters and its length is 2 meters more than twice its width. What is its length?

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  1. 19 July, 14:31
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    Let l be length and w be width.

    So the problem already gave you what a perimeter is, which is 2l + 2w.

    Now it says perimeter is 28, so 2l + 2w = 28.

    Then it says length is 2 more than twice its width, so l = 2w + 2.

    Now substitute.

    2 (2w + 2) + 2w = 28

    4w + 4 + 2w = 28

    6w = 24

    w = 4

    Now substitute w back in l = 2w + 2

    l = 2 (4) + 2

    l = 10
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