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12 August, 07:39

In rectangle LMNP LN=7x-8 and MP=4x+1 find the length of LN

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  1. 12 August, 07:52
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    LN = 13 units.

    Step-by-step explanation:

    If LMNP is a rectangle, then LN and MP are the two diagonals of the rectangle and they are equal.

    Now, given that LN = 7x - 8 and MP = 4x + 1

    So, 7x - 8 = 4x + 1

    ⇒ 3x = 9

    ⇒ x = 3

    Therefore, LN = 7x - 8 = 7 (3) - 8 = 13 units. (Answer)
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